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Finding the Fourth Proportional to 5,414.75, 8,122.17 and 1,519.37

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Solution

The fourth proportional to 5,414.75, 8,122.17 and 1,519.37 is: 2,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.75 : 8,122.17 = 1,519.37 : x
  2. Step 2: Convert to fraction form
    5,414.75/8,122.17 = 1,519.37/x
  3. Step 3: Cross multiply
    5,414.75x = 8,122.17 × 1,519.37
  4. Step 4: Simplify right side
    5,414.75x = 12,340,581.43
  5. Step 5: Solve for x
    x = 12,340,581.43/5,414.75
  6. Step 6: Final answer
    x = 2,279.07

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