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Finding the Fourth Proportional to 3,787.62, 5,227.11 and 2,854.50

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Solution

The fourth proportional to 3,787.62, 5,227.11 and 2,854.50 is: 3,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.62 : 5,227.11 = 2,854.50 : x
  2. Step 2: Convert to fraction form
    3,787.62/5,227.11 = 2,854.50/x
  3. Step 3: Cross multiply
    3,787.62x = 5,227.11 × 2,854.50
  4. Step 4: Simplify right side
    3,787.62x = 14,920,785.50
  5. Step 5: Solve for x
    x = 14,920,785.50/3,787.62
  6. Step 6: Final answer
    x = 3,939.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.