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Finding the Fourth Proportional to 5,013.64, 7,517.91 and 1,680.73

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Solution

The fourth proportional to 5,013.64, 7,517.91 and 1,680.73 is: 2,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.64 : 7,517.91 = 1,680.73 : x
  2. Step 2: Convert to fraction form
    5,013.64/7,517.91 = 1,680.73/x
  3. Step 3: Cross multiply
    5,013.64x = 7,517.91 × 1,680.73
  4. Step 4: Simplify right side
    5,013.64x = 12,635,576.87
  5. Step 5: Solve for x
    x = 12,635,576.87/5,013.64
  6. Step 6: Final answer
    x = 2,520.24

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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.