Answer: [tex]\dfrac{15}{4}[/tex]
Step-by-step explanation:
Given
[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]
Apply cross-multiplication
[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]
The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]