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Finding the Fourth Proportional to 6,367.41, 8,787.24 and 3,849.03

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Solution

The fourth proportional to 6,367.41, 8,787.24 and 3,849.03 is: 5,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.41 : 8,787.24 = 3,849.03 : x
  2. Step 2: Convert to fraction form
    6,367.41/8,787.24 = 3,849.03/x
  3. Step 3: Cross multiply
    6,367.41x = 8,787.24 × 3,849.03
  4. Step 4: Simplify right side
    6,367.41x = 33,822,350.38
  5. Step 5: Solve for x
    x = 33,822,350.38/6,367.41
  6. Step 6: Final answer
    x = 5,311.79

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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.