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Finding the Fourth Proportional to 3,997.29, 5,993.40 and 1,223.04

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Solution

The fourth proportional to 3,997.29, 5,993.40 and 1,223.04 is: 1,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.29 : 5,993.40 = 1,223.04 : x
  2. Step 2: Convert to fraction form
    3,997.29/5,993.40 = 1,223.04/x
  3. Step 3: Cross multiply
    3,997.29x = 5,993.40 × 1,223.04
  4. Step 4: Simplify right side
    3,997.29x = 7,330,167.94
  5. Step 5: Solve for x
    x = 7,330,167.94/3,997.29
  6. Step 6: Final answer
    x = 1,833.78

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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.