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Finding the Fourth Proportional to 4,005.25, 5,972.03 and 3,999.78

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Solution

The fourth proportional to 4,005.25, 5,972.03 and 3,999.78 is: 5,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.25 : 5,972.03 = 3,999.78 : x
  2. Step 2: Convert to fraction form
    4,005.25/5,972.03 = 3,999.78/x
  3. Step 3: Cross multiply
    4,005.25x = 5,972.03 × 3,999.78
  4. Step 4: Simplify right side
    4,005.25x = 23,886,801.15
  5. Step 5: Solve for x
    x = 23,886,801.15/4,005.25
  6. Step 6: Final answer
    x = 5,963.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.