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Finding the Fourth Proportional to 4,182.67, 5,772 and 2,414.17

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Solution

The fourth proportional to 4,182.67, 5,772 and 2,414.17 is: 3,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.67 : 5,772 = 2,414.17 : x
  2. Step 2: Convert to fraction form
    4,182.67/5,772 = 2,414.17/x
  3. Step 3: Cross multiply
    4,182.67x = 5,772 × 2,414.17
  4. Step 4: Simplify right side
    4,182.67x = 13,934,589.24
  5. Step 5: Solve for x
    x = 13,934,589.24/4,182.67
  6. Step 6: Final answer
    x = 3,331.51

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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.