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Finding the Fourth Proportional to 3,702.61, 5,109.66 and 2,024.11

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Solution

The fourth proportional to 3,702.61, 5,109.66 and 2,024.11 is: 2,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.61 : 5,109.66 = 2,024.11 : x
  2. Step 2: Convert to fraction form
    3,702.61/5,109.66 = 2,024.11/x
  3. Step 3: Cross multiply
    3,702.61x = 5,109.66 × 2,024.11
  4. Step 4: Simplify right side
    3,702.61x = 10,342,528.97
  5. Step 5: Solve for x
    x = 10,342,528.97/3,702.61
  6. Step 6: Final answer
    x = 2,793.31

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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.