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Finding the Fourth Proportional to 5,626.64, 7,761.68 and 3,387.16

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Solution

The fourth proportional to 5,626.64, 7,761.68 and 3,387.16 is: 4,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.64 : 7,761.68 = 3,387.16 : x
  2. Step 2: Convert to fraction form
    5,626.64/7,761.68 = 3,387.16/x
  3. Step 3: Cross multiply
    5,626.64x = 7,761.68 × 3,387.16
  4. Step 4: Simplify right side
    5,626.64x = 26,290,052.03
  5. Step 5: Solve for x
    x = 26,290,052.03/5,626.64
  6. Step 6: Final answer
    x = 4,672.42

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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.