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Finding the Fourth Proportional to 5,757.16, 8,635.82 and 2,468.20

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Solution

The fourth proportional to 5,757.16, 8,635.82 and 2,468.20 is: 3,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.16 : 8,635.82 = 2,468.20 : x
  2. Step 2: Convert to fraction form
    5,757.16/8,635.82 = 2,468.20/x
  3. Step 3: Cross multiply
    5,757.16x = 8,635.82 × 2,468.20
  4. Step 4: Simplify right side
    5,757.16x = 21,314,930.92
  5. Step 5: Solve for x
    x = 21,314,930.92/5,757.16
  6. Step 6: Final answer
    x = 3,702.33

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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.