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Finding the Fourth Proportional to 3,523.82, 4,862.83 and 1,951.90

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Solution

The fourth proportional to 3,523.82, 4,862.83 and 1,951.90 is: 2,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.82 : 4,862.83 = 1,951.90 : x
  2. Step 2: Convert to fraction form
    3,523.82/4,862.83 = 1,951.90/x
  3. Step 3: Cross multiply
    3,523.82x = 4,862.83 × 1,951.90
  4. Step 4: Simplify right side
    3,523.82x = 9,491,757.88
  5. Step 5: Solve for x
    x = 9,491,757.88/3,523.82
  6. Step 6: Final answer
    x = 2,693.60

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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.