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Finding the Fourth Proportional to 3,198.70, 4,412.64 and 2,755.83

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Solution

The fourth proportional to 3,198.70, 4,412.64 and 2,755.83 is: 3,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.70 : 4,412.64 = 2,755.83 : x
  2. Step 2: Convert to fraction form
    3,198.70/4,412.64 = 2,755.83/x
  3. Step 3: Cross multiply
    3,198.70x = 4,412.64 × 2,755.83
  4. Step 4: Simplify right side
    3,198.70x = 12,160,512.57
  5. Step 5: Solve for x
    x = 12,160,512.57/3,198.70
  6. Step 6: Final answer
    x = 3,801.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.