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Finding the Fourth Proportional to 5,732.60, 7,914.24 and 4,385.68

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Solution

The fourth proportional to 5,732.60, 7,914.24 and 4,385.68 is: 6,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.60 : 7,914.24 = 4,385.68 : x
  2. Step 2: Convert to fraction form
    5,732.60/7,914.24 = 4,385.68/x
  3. Step 3: Cross multiply
    5,732.60x = 7,914.24 × 4,385.68
  4. Step 4: Simplify right side
    5,732.60x = 34,709,304.30
  5. Step 5: Solve for x
    x = 34,709,304.30/5,732.60
  6. Step 6: Final answer
    x = 6,054.72

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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.