Step 1 :Set up a fraction with the ordered dose on the top and the unknown amount on the bottom: \(\frac{3.5 \mathrm{fl oz}}{x \mathrm{mL}}\)
Step 2 :Set up a fraction with the standard equivalent: \(\frac{1 \mathrm{fl oz}}{29.5735 \mathrm{mL}}\)
Step 3 :Set up a proportion with both fractions: \(\frac{3.5 \mathrm{fl oz}}{x \mathrm{mL}} = \frac{1 \mathrm{fl oz}}{29.5735 \mathrm{mL}}\)
Step 4 :Cross multiply: \(x \times 1 \mathrm{fl oz} = 3.5 \mathrm{fl oz} \times 29.5735 \mathrm{mL}\)
Step 5 :Solve for x by dividing both sides of the equation by 1 fl oz: \(x = \frac{3.5 \mathrm{fl oz} \times 29.5735 \mathrm{mL}}{1 \mathrm{fl oz}}\)
Step 6 :Do the arithmetic: \(x = 103.50725 \mathrm{mL}\)
Step 7 :Round to the nearest whole number: \(x = 104 \mathrm{mL}\)
Step 8 :Final Answer: You need \(\boxed{104} \mathrm{mL}\) of saline.