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.