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Finding the Fourth Proportional to 5,565.52, 8,351.16 and 2,447.71

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Solution

The fourth proportional to 5,565.52, 8,351.16 and 2,447.71 is: 3,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.52 : 8,351.16 = 2,447.71 : x
  2. Step 2: Convert to fraction form
    5,565.52/8,351.16 = 2,447.71/x
  3. Step 3: Cross multiply
    5,565.52x = 8,351.16 × 2,447.71
  4. Step 4: Simplify right side
    5,565.52x = 20,441,217.84
  5. Step 5: Solve for x
    x = 20,441,217.84/5,565.52
  6. Step 6: Final answer
    x = 3,672.83

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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.