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Finding the Fourth Proportional to 3,997.34, 5,996.41 and 1,223.98

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Solution

The fourth proportional to 3,997.34, 5,996.41 and 1,223.98 is: 1,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.34 : 5,996.41 = 1,223.98 : x
  2. Step 2: Convert to fraction form
    3,997.34/5,996.41 = 1,223.98/x
  3. Step 3: Cross multiply
    3,997.34x = 5,996.41 × 1,223.98
  4. Step 4: Simplify right side
    3,997.34x = 7,339,485.91
  5. Step 5: Solve for x
    x = 7,339,485.91/3,997.34
  6. Step 6: Final answer
    x = 1,836.09

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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.