To solve the equation \(\frac{5}{7} = \frac{x}{3}\), follow these steps:

1. **Cross-multiply** to solve for \(x\):
   \[
   5 \times 3 = 7 \times x
   \]

2. **Simplify the multiplication**:
   \[
   15 = 7x
   \]

3. **Divide both sides by 7** to isolate \(x\):
   \[
   x = \frac{15}{7}
   \]

4. **Simplify the fraction if possible**:
   \[
   x = \frac{15}{7}
   \]
   This is already in its simplest form.

So, the solution is \(x = \frac{15}{7}\), or approximately \(x \approx 2.14\) if you want the decimal form.

Would you like any further details or have any questions?

Here are 5 related questions to consider:

1. How do you solve proportions with variables in the numerator?
2. What is the decimal equivalent of \(\frac{15}{7}\)?
3. How can you verify that \(\frac{5}{7} = \frac{15}{7}\) is a true proportion?
4. Can you solve the proportion \(\frac{9}{4} = \frac{y}{2}\)?
5. What is cross-multiplication, and why does it work for solving proportions?

**Tip**: Always check your answer by substituting it back into the original equation to ensure it satisfies the proportion.

Learn how to solve the proportion 5/7 = x/3 step-by-step with detailed explanations and cross-multiplication method. This problem covers key concepts in proportions and fractions, suitable for students in Grades 6-8.

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