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Finding the Fourth Proportional to 3,996.85, 5,997.32 and 2,243.83

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Solution

The fourth proportional to 3,996.85, 5,997.32 and 2,243.83 is: 3,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.85 : 5,997.32 = 2,243.83 : x
  2. Step 2: Convert to fraction form
    3,996.85/5,997.32 = 2,243.83/x
  3. Step 3: Cross multiply
    3,996.85x = 5,997.32 × 2,243.83
  4. Step 4: Simplify right side
    3,996.85x = 13,456,966.54
  5. Step 5: Solve for x
    x = 13,456,966.54/3,996.85
  6. Step 6: Final answer
    x = 3,366.89

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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.