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Finding the Fourth Proportional to 5,781.57, 8,686.62 and 3,702.48

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Solution

The fourth proportional to 5,781.57, 8,686.62 and 3,702.48 is: 5,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.57 : 8,686.62 = 3,702.48 : x
  2. Step 2: Convert to fraction form
    5,781.57/8,686.62 = 3,702.48/x
  3. Step 3: Cross multiply
    5,781.57x = 8,686.62 × 3,702.48
  4. Step 4: Simplify right side
    5,781.57x = 32,162,036.82
  5. Step 5: Solve for x
    x = 32,162,036.82/5,781.57
  6. Step 6: Final answer
    x = 5,562.86

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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.