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Using ratio and proportion, calculate the dosages and express the answers in mL to the nearest tenth (or hundredth where indicated) using the provided medication labels. Measure the dosages on the provided syringes and have your instructor verify the accuracy of your calculations and measurements.
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To calculate the dosage, we start by writing down the given strength of the solution in ratio form: 4 mg to 1 mL. Let X mL contain 5 mg and set up the obtained ratio in proportion: 5 mg to X mL. We can then set up the equation: 5 mg : X mL = 4 mg : 1 mL. By equating the product of means and extremes and isolating X on the left side, we get 4X = 5. Dividing both sides by 4, we find that X is approximately 1.3 mL.
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