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Finding the Fourth Proportional to 3,997.36, 5,996.28 and 1,223.92

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Solution

The fourth proportional to 3,997.36, 5,996.28 and 1,223.92 is: 1,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.36 : 5,996.28 = 1,223.92 : x
  2. Step 2: Convert to fraction form
    3,997.36/5,996.28 = 1,223.92/x
  3. Step 3: Cross multiply
    3,997.36x = 5,996.28 × 1,223.92
  4. Step 4: Simplify right side
    3,997.36x = 7,338,967.02
  5. Step 5: Solve for x
    x = 7,338,967.02/3,997.36
  6. Step 6: Final answer
    x = 1,835.95

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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.