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Finding the Fourth Proportional to 3,806.91, 5,708.93 and 1,616.67

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Solution

The fourth proportional to 3,806.91, 5,708.93 and 1,616.67 is: 2,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.91 : 5,708.93 = 1,616.67 : x
  2. Step 2: Convert to fraction form
    3,806.91/5,708.93 = 1,616.67/x
  3. Step 3: Cross multiply
    3,806.91x = 5,708.93 × 1,616.67
  4. Step 4: Simplify right side
    3,806.91x = 9,229,447.78
  5. Step 5: Solve for x
    x = 9,229,447.78/3,806.91
  6. Step 6: Final answer
    x = 2,424.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.