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Finding the Fourth Proportional to 4,964.82, 6,850.67 and 3,198.82

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Solution

The fourth proportional to 4,964.82, 6,850.67 and 3,198.82 is: 4,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.82 : 6,850.67 = 3,198.82 : x
  2. Step 2: Convert to fraction form
    4,964.82/6,850.67 = 3,198.82/x
  3. Step 3: Cross multiply
    4,964.82x = 6,850.67 × 3,198.82
  4. Step 4: Simplify right side
    4,964.82x = 21,914,025.96
  5. Step 5: Solve for x
    x = 21,914,025.96/4,964.82
  6. Step 6: Final answer
    x = 4,413.87

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Why These Related Problems?

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