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Finding the Fourth Proportional to 4,182.70, 5,772.67 and 2,414.28

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Solution

The fourth proportional to 4,182.70, 5,772.67 and 2,414.28 is: 3,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.70 : 5,772.67 = 2,414.28 : x
  2. Step 2: Convert to fraction form
    4,182.70/5,772.67 = 2,414.28/x
  3. Step 3: Cross multiply
    4,182.70x = 5,772.67 × 2,414.28
  4. Step 4: Simplify right side
    4,182.70x = 13,936,841.73
  5. Step 5: Solve for x
    x = 13,936,841.73/4,182.70
  6. Step 6: Final answer
    x = 3,332.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.