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Finding the Fourth Proportional to 3,996.71, 5,991.41 and 1,398.23

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Solution

The fourth proportional to 3,996.71, 5,991.41 and 1,398.23 is: 2,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.71 : 5,991.41 = 1,398.23 : x
  2. Step 2: Convert to fraction form
    3,996.71/5,991.41 = 1,398.23/x
  3. Step 3: Cross multiply
    3,996.71x = 5,991.41 × 1,398.23
  4. Step 4: Simplify right side
    3,996.71x = 8,377,332.26
  5. Step 5: Solve for x
    x = 8,377,332.26/3,996.71
  6. Step 6: Final answer
    x = 2,096.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.