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Finding the Fourth Proportional to 3,635.92, 5,454 and 2,819.44

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Solution

The fourth proportional to 3,635.92, 5,454 and 2,819.44 is: 4,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.92 : 5,454 = 2,819.44 : x
  2. Step 2: Convert to fraction form
    3,635.92/5,454 = 2,819.44/x
  3. Step 3: Cross multiply
    3,635.92x = 5,454 × 2,819.44
  4. Step 4: Simplify right side
    3,635.92x = 15,377,225.76
  5. Step 5: Solve for x
    x = 15,377,225.76/3,635.92
  6. Step 6: Final answer
    x = 4,229.25

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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.