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Finding the Fourth Proportional to 3,744.86, 5,167.44 and 2,252.70

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Solution

The fourth proportional to 3,744.86, 5,167.44 and 2,252.70 is: 3,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.86 : 5,167.44 = 2,252.70 : x
  2. Step 2: Convert to fraction form
    3,744.86/5,167.44 = 2,252.70/x
  3. Step 3: Cross multiply
    3,744.86x = 5,167.44 × 2,252.70
  4. Step 4: Simplify right side
    3,744.86x = 11,640,692.09
  5. Step 5: Solve for x
    x = 11,640,692.09/3,744.86
  6. Step 6: Final answer
    x = 3,108.45

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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.