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Finding the Fourth Proportional to 3,744.82, 5,168.17 and 2,172.81

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Solution

The fourth proportional to 3,744.82, 5,168.17 and 2,172.81 is: 2,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.82 : 5,168.17 = 2,172.81 : x
  2. Step 2: Convert to fraction form
    3,744.82/5,168.17 = 2,172.81/x
  3. Step 3: Cross multiply
    3,744.82x = 5,168.17 × 2,172.81
  4. Step 4: Simplify right side
    3,744.82x = 11,229,451.46
  5. Step 5: Solve for x
    x = 11,229,451.46/3,744.82
  6. Step 6: Final answer
    x = 2,998.66

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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.