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Finding the Fourth Proportional to 5,002, 6,902.80 and 2,906.24

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Solution

The fourth proportional to 5,002, 6,902.80 and 2,906.24 is: 4,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002 : 6,902.80 = 2,906.24 : x
  2. Step 2: Convert to fraction form
    5,002/6,902.80 = 2,906.24/x
  3. Step 3: Cross multiply
    5,002x = 6,902.80 × 2,906.24
  4. Step 4: Simplify right side
    5,002x = 20,061,193.47
  5. Step 5: Solve for x
    x = 20,061,193.47/5,002
  6. Step 6: Final answer
    x = 4,010.63

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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.