\(\frac{1}{2}x:\frac{3}{4}=\frac{5}{2}:\frac{5}{4}\)
\(\Rightarrow\frac{1}{2}x:\frac{3}{4}=2\)
\(\Rightarrow\frac{1}{2}x=2.\frac{3}{4}\)
\(\Rightarrow\frac{1}{2}x=\frac{3}{2}\)
\(\Rightarrow x=\frac{3}{2}:\frac{1}{2}\)
\(\Rightarrow x=3\)
\(\frac{1}{2}x:\frac{3}{4}=\frac{5}{2}:\frac{5}{4}\)
\(\Leftrightarrow\frac{1}{2}x:\frac{3}{4}=2\)
\(\Leftrightarrow\frac{1}{2}x=2.\frac{3}{4}=\frac{3}{2}\)
\(\Leftrightarrow x=\frac{3}{2}:\frac{1}{2}=3\)
\(\frac{1}{2}x:\frac{3}{4}=\frac{5}{2}:\frac{5}{4}=2\)
\(\frac{1}{2}x=2.\frac{3}{4}=\frac{3}{2}\)
\(x=\frac{3}{2}:\frac{1}{2}=3\)