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Finding the Fourth Proportional to 3,524.34, 5,286.68 and 1,963.17

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Solution

The fourth proportional to 3,524.34, 5,286.68 and 1,963.17 is: 2,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.34 : 5,286.68 = 1,963.17 : x
  2. Step 2: Convert to fraction form
    3,524.34/5,286.68 = 1,963.17/x
  3. Step 3: Cross multiply
    3,524.34x = 5,286.68 × 1,963.17
  4. Step 4: Simplify right side
    3,524.34x = 10,378,651.58
  5. Step 5: Solve for x
    x = 10,378,651.58/3,524.34
  6. Step 6: Final answer
    x = 2,944.85

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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.