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Finding the Fourth Proportional to 3,672.27, 5,508.38 and 898.95

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Solution

The fourth proportional to 3,672.27, 5,508.38 and 898.95 is: 1,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.27 : 5,508.38 = 898.95 : x
  2. Step 2: Convert to fraction form
    3,672.27/5,508.38 = 898.95/x
  3. Step 3: Cross multiply
    3,672.27x = 5,508.38 × 898.95
  4. Step 4: Simplify right side
    3,672.27x = 4,951,758.20
  5. Step 5: Solve for x
    x = 4,951,758.20/3,672.27
  6. Step 6: Final answer
    x = 1,348.42

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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.