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Finding the Fourth Proportional to 3,702.62, 5,109.51 and 2,024.03

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Solution

The fourth proportional to 3,702.62, 5,109.51 and 2,024.03 is: 2,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.62 : 5,109.51 = 2,024.03 : x
  2. Step 2: Convert to fraction form
    3,702.62/5,109.51 = 2,024.03/x
  3. Step 3: Cross multiply
    3,702.62x = 5,109.51 × 2,024.03
  4. Step 4: Simplify right side
    3,702.62x = 10,341,775.98
  5. Step 5: Solve for x
    x = 10,341,775.98/3,702.62
  6. Step 6: Final answer
    x = 2,793.10

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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.