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Finding the Fourth Proportional to 3,999.92, 5,999.27 and 1,078.45

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Solution

The fourth proportional to 3,999.92, 5,999.27 and 1,078.45 is: 1,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.92 : 5,999.27 = 1,078.45 : x
  2. Step 2: Convert to fraction form
    3,999.92/5,999.27 = 1,078.45/x
  3. Step 3: Cross multiply
    3,999.92x = 5,999.27 × 1,078.45
  4. Step 4: Simplify right side
    3,999.92x = 6,469,892.34
  5. Step 5: Solve for x
    x = 6,469,892.34/3,999.92
  6. Step 6: Final answer
    x = 1,617.51

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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.