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Finding the Fourth Proportional to 4,001.92, 5,991.04 and 2,265.28

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Solution

The fourth proportional to 4,001.92, 5,991.04 and 2,265.28 is: 3,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.92 : 5,991.04 = 2,265.28 : x
  2. Step 2: Convert to fraction form
    4,001.92/5,991.04 = 2,265.28/x
  3. Step 3: Cross multiply
    4,001.92x = 5,991.04 × 2,265.28
  4. Step 4: Simplify right side
    4,001.92x = 13,571,383.09
  5. Step 5: Solve for x
    x = 13,571,383.09/4,001.92
  6. Step 6: Final answer
    x = 3,391.22

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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.