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Finding the Fourth Proportional to 3,523.84, 5,279.82 and 2,132.97

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Solution

The fourth proportional to 3,523.84, 5,279.82 and 2,132.97 is: 3,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.84 : 5,279.82 = 2,132.97 : x
  2. Step 2: Convert to fraction form
    3,523.84/5,279.82 = 2,132.97/x
  3. Step 3: Cross multiply
    3,523.84x = 5,279.82 × 2,132.97
  4. Step 4: Simplify right side
    3,523.84x = 11,261,669.87
  5. Step 5: Solve for x
    x = 11,261,669.87/3,523.84
  6. Step 6: Final answer
    x = 3,195.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.