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Finding the Fourth Proportional to 3,992.38, 5,989.30 and 1,910.97

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Solution

The fourth proportional to 3,992.38, 5,989.30 and 1,910.97 is: 2,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.38 : 5,989.30 = 1,910.97 : x
  2. Step 2: Convert to fraction form
    3,992.38/5,989.30 = 1,910.97/x
  3. Step 3: Cross multiply
    3,992.38x = 5,989.30 × 1,910.97
  4. Step 4: Simplify right side
    3,992.38x = 11,445,372.62
  5. Step 5: Solve for x
    x = 11,445,372.62/3,992.38
  6. Step 6: Final answer
    x = 2,866.80

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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.