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Finding the Fourth Proportional to 5,737.28, 8,605.82 and 1,577.27

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Solution

The fourth proportional to 5,737.28, 8,605.82 and 1,577.27 is: 2,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.28 : 8,605.82 = 1,577.27 : x
  2. Step 2: Convert to fraction form
    5,737.28/8,605.82 = 1,577.27/x
  3. Step 3: Cross multiply
    5,737.28x = 8,605.82 × 1,577.27
  4. Step 4: Simplify right side
    5,737.28x = 13,573,701.71
  5. Step 5: Solve for x
    x = 13,573,701.71/5,737.28
  6. Step 6: Final answer
    x = 2,365.88

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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.