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Finding the Fourth Proportional to 3,882.87, 5,819.67 and 1,414.82

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Solution

The fourth proportional to 3,882.87, 5,819.67 and 1,414.82 is: 2,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.87 : 5,819.67 = 1,414.82 : x
  2. Step 2: Convert to fraction form
    3,882.87/5,819.67 = 1,414.82/x
  3. Step 3: Cross multiply
    3,882.87x = 5,819.67 × 1,414.82
  4. Step 4: Simplify right side
    3,882.87x = 8,233,800.06
  5. Step 5: Solve for x
    x = 8,233,800.06/3,882.87
  6. Step 6: Final answer
    x = 2,120.54

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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.