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Finding the Fourth Proportional to 4,182.71, 5,771.67 and 2,414.90

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Solution

The fourth proportional to 4,182.71, 5,771.67 and 2,414.90 is: 3,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.71 : 5,771.67 = 2,414.90 : x
  2. Step 2: Convert to fraction form
    4,182.71/5,771.67 = 2,414.90/x
  3. Step 3: Cross multiply
    4,182.71x = 5,771.67 × 2,414.90
  4. Step 4: Simplify right side
    4,182.71x = 13,938,005.88
  5. Step 5: Solve for x
    x = 13,938,005.88/4,182.71
  6. Step 6: Final answer
    x = 3,332.29

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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.