To solve the proportion [tex]\(\frac{25}{20} = \frac{x}{4}\)[/tex], we need to find the value of [tex]\(x\)[/tex] that makes both sides of the equation equal. Here’s a step-by-step solution:
1. Set up the proportion:
[tex]\[
\frac{25}{20} = \frac{x}{4}
\][/tex]
2. Cross-multiply to get rid of the fractions:
[tex]\[
25 \cdot 4 = 20 \cdot x
\][/tex]
This gives us:
[tex]\[
100 = 20x
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], divide both sides of the equation by 20:
[tex]\[
x = \frac{100}{20}
\][/tex]
Simplifying this:
[tex]\[
x = 5
\][/tex]
So, the value of [tex]\(x\)[/tex] that makes the proportion true is [tex]\(\boxed{5}\)[/tex]. Therefore, the correct answer is D.
