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Finding the Fourth Proportional to 3,744.49, 5,167.24 and 2,172.46

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Solution

The fourth proportional to 3,744.49, 5,167.24 and 2,172.46 is: 2,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.49 : 5,167.24 = 2,172.46 : x
  2. Step 2: Convert to fraction form
    3,744.49/5,167.24 = 2,172.46/x
  3. Step 3: Cross multiply
    3,744.49x = 5,167.24 × 2,172.46
  4. Step 4: Simplify right side
    3,744.49x = 11,225,622.21
  5. Step 5: Solve for x
    x = 11,225,622.21/3,744.49
  6. Step 6: Final answer
    x = 2,997.90

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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.