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Finding the Fourth Proportional to 5,565.90, 7,672.02 and 3,772.80

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Solution

The fourth proportional to 5,565.90, 7,672.02 and 3,772.80 is: 5,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.90 : 7,672.02 = 3,772.80 : x
  2. Step 2: Convert to fraction form
    5,565.90/7,672.02 = 3,772.80/x
  3. Step 3: Cross multiply
    5,565.90x = 7,672.02 × 3,772.80
  4. Step 4: Simplify right side
    5,565.90x = 28,944,997.06
  5. Step 5: Solve for x
    x = 28,944,997.06/5,565.90
  6. Step 6: Final answer
    x = 5,200.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.