If 3 oranges cost $1.35, we have a ratio of orange to price of:
[tex]r=\frac{3}{1.35}[/tex]The ratio for 5 oragens and a price "x", is:
[tex]r=\frac{5}{x}[/tex]If both have the same ratio, we can equalize them:
[tex]\begin{gathered} \frac{3}{1.35}=\frac{5}{x} \\ 3x=5\cdot1.35 \\ 3x=6.75 \\ x=\frac{6.75}{3} \\ x=2.25 \end{gathered}[/tex]So, at this ratio, 5 oranges will cost $2.25.