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Finding the Fourth Proportional to 5,227.07, 7,213.10 and 2,869.16

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Solution

The fourth proportional to 5,227.07, 7,213.10 and 2,869.16 is: 3,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.07 : 7,213.10 = 2,869.16 : x
  2. Step 2: Convert to fraction form
    5,227.07/7,213.10 = 2,869.16/x
  3. Step 3: Cross multiply
    5,227.07x = 7,213.10 × 2,869.16
  4. Step 4: Simplify right side
    5,227.07x = 20,695,487.58
  5. Step 5: Solve for x
    x = 20,695,487.58/5,227.07
  6. Step 6: Final answer
    x = 3,959.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.