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Finding the Fourth Proportional to 5,227.38, 7,213.62 and 2,837.24

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Solution

The fourth proportional to 5,227.38, 7,213.62 and 2,837.24 is: 3,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.38 : 7,213.62 = 2,837.24 : x
  2. Step 2: Convert to fraction form
    5,227.38/7,213.62 = 2,837.24/x
  3. Step 3: Cross multiply
    5,227.38x = 7,213.62 × 2,837.24
  4. Step 4: Simplify right side
    5,227.38x = 20,466,740.57
  5. Step 5: Solve for x
    x = 20,466,740.57/5,227.38
  6. Step 6: Final answer
    x = 3,915.30

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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.