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Finding the Fourth Proportional to 3,843.29, 5,759.53 and 2,197.37

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Solution

The fourth proportional to 3,843.29, 5,759.53 and 2,197.37 is: 3,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.29 : 5,759.53 = 2,197.37 : x
  2. Step 2: Convert to fraction form
    3,843.29/5,759.53 = 2,197.37/x
  3. Step 3: Cross multiply
    3,843.29x = 5,759.53 × 2,197.37
  4. Step 4: Simplify right side
    3,843.29x = 12,655,778.65
  5. Step 5: Solve for x
    x = 12,655,778.65/3,843.29
  6. Step 6: Final answer
    x = 3,292.96

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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.