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Finding the Fourth Proportional to 3,791.25, 5,231.99 and 2,219.31

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Solution

The fourth proportional to 3,791.25, 5,231.99 and 2,219.31 is: 3,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.25 : 5,231.99 = 2,219.31 : x
  2. Step 2: Convert to fraction form
    3,791.25/5,231.99 = 2,219.31/x
  3. Step 3: Cross multiply
    3,791.25x = 5,231.99 × 2,219.31
  4. Step 4: Simplify right side
    3,791.25x = 11,611,413.28
  5. Step 5: Solve for x
    x = 11,611,413.28/3,791.25
  6. Step 6: Final answer
    x = 3,062.69

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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.