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Finding the Fourth Proportional to 3,447.28, 5,167.92 and 2,198.80

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Solution

The fourth proportional to 3,447.28, 5,167.92 and 2,198.80 is: 3,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.28 : 5,167.92 = 2,198.80 : x
  2. Step 2: Convert to fraction form
    3,447.28/5,167.92 = 2,198.80/x
  3. Step 3: Cross multiply
    3,447.28x = 5,167.92 × 2,198.80
  4. Step 4: Simplify right side
    3,447.28x = 11,363,222.50
  5. Step 5: Solve for x
    x = 11,363,222.50/3,447.28
  6. Step 6: Final answer
    x = 3,296.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.