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Finding the Fourth Proportional to 3,879.46, 5,821.52 and 1,414.49

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Solution

The fourth proportional to 3,879.46, 5,821.52 and 1,414.49 is: 2,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.46 : 5,821.52 = 1,414.49 : x
  2. Step 2: Convert to fraction form
    3,879.46/5,821.52 = 1,414.49/x
  3. Step 3: Cross multiply
    3,879.46x = 5,821.52 × 1,414.49
  4. Step 4: Simplify right side
    3,879.46x = 8,234,469.97
  5. Step 5: Solve for x
    x = 8,234,469.97/3,879.46
  6. Step 6: Final answer
    x = 2,122.58

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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.