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Finding the Fourth Proportional to 4,985.38, 6,882.30 and 3,863.78

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Solution

The fourth proportional to 4,985.38, 6,882.30 and 3,863.78 is: 5,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.38 : 6,882.30 = 3,863.78 : x
  2. Step 2: Convert to fraction form
    4,985.38/6,882.30 = 3,863.78/x
  3. Step 3: Cross multiply
    4,985.38x = 6,882.30 × 3,863.78
  4. Step 4: Simplify right side
    4,985.38x = 26,591,693.09
  5. Step 5: Solve for x
    x = 26,591,693.09/4,985.38
  6. Step 6: Final answer
    x = 5,333.94

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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.