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Finding the Fourth Proportional to 3,702.70, 5,109.64 and 2,024.12

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Solution

The fourth proportional to 3,702.70, 5,109.64 and 2,024.12 is: 2,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.70 : 5,109.64 = 2,024.12 : x
  2. Step 2: Convert to fraction form
    3,702.70/5,109.64 = 2,024.12/x
  3. Step 3: Cross multiply
    3,702.70x = 5,109.64 × 2,024.12
  4. Step 4: Simplify right side
    3,702.70x = 10,342,524.52
  5. Step 5: Solve for x
    x = 10,342,524.52/3,702.70
  6. Step 6: Final answer
    x = 2,793.24

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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.