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Finding the Fourth Proportional to 3,429.88, 5,144.82 and 2,197.86

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Solution

The fourth proportional to 3,429.88, 5,144.82 and 2,197.86 is: 3,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.88 : 5,144.82 = 2,197.86 : x
  2. Step 2: Convert to fraction form
    3,429.88/5,144.82 = 2,197.86/x
  3. Step 3: Cross multiply
    3,429.88x = 5,144.82 × 2,197.86
  4. Step 4: Simplify right side
    3,429.88x = 11,307,594.09
  5. Step 5: Solve for x
    x = 11,307,594.09/3,429.88
  6. Step 6: Final answer
    x = 3,296.79

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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.