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Finding the Fourth Proportional to 3,702.97, 5,110.12 and 2,024.38

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Solution

The fourth proportional to 3,702.97, 5,110.12 and 2,024.38 is: 2,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.97 : 5,110.12 = 2,024.38 : x
  2. Step 2: Convert to fraction form
    3,702.97/5,110.12 = 2,024.38/x
  3. Step 3: Cross multiply
    3,702.97x = 5,110.12 × 2,024.38
  4. Step 4: Simplify right side
    3,702.97x = 10,344,824.73
  5. Step 5: Solve for x
    x = 10,344,824.73/3,702.97
  6. Step 6: Final answer
    x = 2,793.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.