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Finding the Fourth Proportional to 3,538.68, 5,299.94 and 1,691.09

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Solution

The fourth proportional to 3,538.68, 5,299.94 and 1,691.09 is: 2,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.68 : 5,299.94 = 1,691.09 : x
  2. Step 2: Convert to fraction form
    3,538.68/5,299.94 = 1,691.09/x
  3. Step 3: Cross multiply
    3,538.68x = 5,299.94 × 1,691.09
  4. Step 4: Simplify right side
    3,538.68x = 8,962,640.58
  5. Step 5: Solve for x
    x = 8,962,640.58/3,538.68
  6. Step 6: Final answer
    x = 2,532.76

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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.