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Finding the Fourth Proportional to 5,711.68, 8,565.87 and 2,201.41

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Solution

The fourth proportional to 5,711.68, 8,565.87 and 2,201.41 is: 3,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.68 : 8,565.87 = 2,201.41 : x
  2. Step 2: Convert to fraction form
    5,711.68/8,565.87 = 2,201.41/x
  3. Step 3: Cross multiply
    5,711.68x = 8,565.87 × 2,201.41
  4. Step 4: Simplify right side
    5,711.68x = 18,856,949.05
  5. Step 5: Solve for x
    x = 18,856,949.05/5,711.68
  6. Step 6: Final answer
    x = 3,301.47

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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.