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Finding the Fourth Proportional to 4,000.48, 6,000.71 and 3,787.24

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Solution

The fourth proportional to 4,000.48, 6,000.71 and 3,787.24 is: 5,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.48 : 6,000.71 = 3,787.24 : x
  2. Step 2: Convert to fraction form
    4,000.48/6,000.71 = 3,787.24/x
  3. Step 3: Cross multiply
    4,000.48x = 6,000.71 × 3,787.24
  4. Step 4: Simplify right side
    4,000.48x = 22,726,128.94
  5. Step 5: Solve for x
    x = 22,726,128.94/4,000.48
  6. Step 6: Final answer
    x = 5,680.85

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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.