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Finding the Fourth Proportional to 3,879.82, 5,353.79 and 2,200.83

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Solution

The fourth proportional to 3,879.82, 5,353.79 and 2,200.83 is: 3,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.82 : 5,353.79 = 2,200.83 : x
  2. Step 2: Convert to fraction form
    3,879.82/5,353.79 = 2,200.83/x
  3. Step 3: Cross multiply
    3,879.82x = 5,353.79 × 2,200.83
  4. Step 4: Simplify right side
    3,879.82x = 11,782,781.65
  5. Step 5: Solve for x
    x = 11,782,781.65/3,879.82
  6. Step 6: Final answer
    x = 3,036.94

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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.