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Finding the Fourth Proportional to 5,107.56, 7,654.25 and 2,327.44

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Solution

The fourth proportional to 5,107.56, 7,654.25 and 2,327.44 is: 3,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.56 : 7,654.25 = 2,327.44 : x
  2. Step 2: Convert to fraction form
    5,107.56/7,654.25 = 2,327.44/x
  3. Step 3: Cross multiply
    5,107.56x = 7,654.25 × 2,327.44
  4. Step 4: Simplify right side
    5,107.56x = 17,814,763.53
  5. Step 5: Solve for x
    x = 17,814,763.53/5,107.56
  6. Step 6: Final answer
    x = 3,487.92

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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.