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To round the number 4520.205419 to the nearest ten-thousandth, we follow these steps:

1. **Identify the ten-thousandth place**: 
   - The ten-thousandth place is the fourth digit to the right of the decimal point. In the number 4520.205419, the digit in the ten-thousandth place is **4**.

2. **Check the digit in the next place**: 
   - The digit immediately to the right of the ten-thousandth place (the hundred-thousandth place) is **1**.

3. **Apply the rounding rule**:
   - If the digit in the hundred-thousandth place is 5 or greater, we round the ten-thousandth place up by 1. If it's less than 5, we leave the ten-thousandth digit as is.

   - Since the digit in the hundred-thousandth place is **1** (which is less than 5), we do not round up.

4. **Final rounded value**:
   - The number rounded to the nearest ten-thousandth is **4520.2054**.

Would you like further details or explanations on this?

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Here are five related questions to explore further:

1. How would you round 4520.205419 to the nearest hundred-thousandth?
2. What is the value of 4520.205419 when rounded to the nearest thousandth?
3. How do you round a number to the nearest whole number?
4. What is the general rule for rounding numbers in any place value?
5. Can you explain how rounding affects precision in measurements?

**Tip:** When rounding, always pay attention to the place immediately to the right of the target digit—this determines whether you round up or down.

Round 4520.205419 to the nearest ten-thousandth.

Learn how to round the number 4520.205419 to the nearest ten-thousandth. This step-by-step guide covers rounding rules, place value identification, and correct application of the rounding process. Suitable for students in Grades 5-7.

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