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Finding the Fourth Proportional to 3,665.71, 5,057.10 and 2,172.83

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Solution

The fourth proportional to 3,665.71, 5,057.10 and 2,172.83 is: 2,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.71 : 5,057.10 = 2,172.83 : x
  2. Step 2: Convert to fraction form
    3,665.71/5,057.10 = 2,172.83/x
  3. Step 3: Cross multiply
    3,665.71x = 5,057.10 × 2,172.83
  4. Step 4: Simplify right side
    3,665.71x = 10,988,193.31
  5. Step 5: Solve for x
    x = 10,988,193.31/3,665.71
  6. Step 6: Final answer
    x = 2,997.56

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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.