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Finding the Fourth Proportional to 3,523.25, 4,862.09 and 1,951.31

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Solution

The fourth proportional to 3,523.25, 4,862.09 and 1,951.31 is: 2,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.25 : 4,862.09 = 1,951.31 : x
  2. Step 2: Convert to fraction form
    3,523.25/4,862.09 = 1,951.31/x
  3. Step 3: Cross multiply
    3,523.25x = 4,862.09 × 1,951.31
  4. Step 4: Simplify right side
    3,523.25x = 9,487,461.87
  5. Step 5: Solve for x
    x = 9,487,461.87/3,523.25
  6. Step 6: Final answer
    x = 2,692.81

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