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Finding the Fourth Proportional to 5,789.36, 7,990.85 and 3,997.14

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Solution

The fourth proportional to 5,789.36, 7,990.85 and 3,997.14 is: 5,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.36 : 7,990.85 = 3,997.14 : x
  2. Step 2: Convert to fraction form
    5,789.36/7,990.85 = 3,997.14/x
  3. Step 3: Cross multiply
    5,789.36x = 7,990.85 × 3,997.14
  4. Step 4: Simplify right side
    5,789.36x = 31,940,503.71
  5. Step 5: Solve for x
    x = 31,940,503.71/5,789.36
  6. Step 6: Final answer
    x = 5,517.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.