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Finding the Fourth Proportional to 5,002.92, 6,902.52 and 2,906.64

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Solution

The fourth proportional to 5,002.92, 6,902.52 and 2,906.64 is: 4,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.92 : 6,902.52 = 2,906.64 : x
  2. Step 2: Convert to fraction form
    5,002.92/6,902.52 = 2,906.64/x
  3. Step 3: Cross multiply
    5,002.92x = 6,902.52 × 2,906.64
  4. Step 4: Simplify right side
    5,002.92x = 20,063,140.73
  5. Step 5: Solve for x
    x = 20,063,140.73/5,002.92
  6. Step 6: Final answer
    x = 4,010.29

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1.5x scale

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.