To solve the equation \( \frac{x}{4} = \frac{3}{5} \), we can use cross-multiplication to find the value of \( x \).

### Steps:

1. **Cross-Multiply:**
   \[
   5x = 4 \times 3
   \]

2. **Multiply:**
   \[
   5x = 12
   \]

3. **Solve for \( x \):**
   \[
   x = \frac{12}{5}
   \]

4. **Simplify:**
   \[
   x = 2.4
   \]

So, the value of \( x \) is \( \boxed{2.4} \).

Would you like to go over any details or have any questions?

### Related Questions:
1. How can cross-multiplication be used in solving proportions?
2. What are other methods to solve the equation \( \frac{x}{4} = \frac{3}{5} \)?
3. How does simplifying the fraction \( \frac{12}{5} \) help in understanding the solution?
4. What would the value of \( x \) be if the equation was \( \frac{x}{6} = \frac{3}{5} \)?
5. What happens if you swap the sides of the equation \( \frac{x}{4} = \frac{3}{5} \)?

**Tip:** Always check your solution by substituting the value of \( x \) back into the original equation to ensure it holds true.

Learn how to solve the proportion x/4 = 3/5 step-by-step with cross-multiplication. This problem covers fundamental proportion-solving techniques suitable for students in Grades 6-8.

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