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Finding the Fourth Proportional to 3,494.57, 5,248.80 and 2,091.69

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Solution

The fourth proportional to 3,494.57, 5,248.80 and 2,091.69 is: 3,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.57 : 5,248.80 = 2,091.69 : x
  2. Step 2: Convert to fraction form
    3,494.57/5,248.80 = 2,091.69/x
  3. Step 3: Cross multiply
    3,494.57x = 5,248.80 × 2,091.69
  4. Step 4: Simplify right side
    3,494.57x = 10,978,862.47
  5. Step 5: Solve for x
    x = 10,978,862.47/3,494.57
  6. Step 6: Final answer
    x = 3,141.70

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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.