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Finding the Fourth Proportional to 3,523.84, 5,286.24 and 1,791.52

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Solution

The fourth proportional to 3,523.84, 5,286.24 and 1,791.52 is: 2,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.84 : 5,286.24 = 1,791.52 : x
  2. Step 2: Convert to fraction form
    3,523.84/5,286.24 = 1,791.52/x
  3. Step 3: Cross multiply
    3,523.84x = 5,286.24 × 1,791.52
  4. Step 4: Simplify right side
    3,523.84x = 9,470,404.68
  5. Step 5: Solve for x
    x = 9,470,404.68/3,523.84
  6. Step 6: Final answer
    x = 2,687.52

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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.