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Finding the Fourth Proportional to 3,524.09, 5,286.23 and 1,963.22

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Solution

The fourth proportional to 3,524.09, 5,286.23 and 1,963.22 is: 2,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.09 : 5,286.23 = 1,963.22 : x
  2. Step 2: Convert to fraction form
    3,524.09/5,286.23 = 1,963.22/x
  3. Step 3: Cross multiply
    3,524.09x = 5,286.23 × 1,963.22
  4. Step 4: Simplify right side
    3,524.09x = 10,377,996.21
  5. Step 5: Solve for x
    x = 10,377,996.21/3,524.09
  6. Step 6: Final answer
    x = 2,944.88

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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.