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Finding the Fourth Proportional to 6,279.31, 8,665.52 and 3,922.82

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Solution

The fourth proportional to 6,279.31, 8,665.52 and 3,922.82 is: 5,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.31 : 8,665.52 = 3,922.82 : x
  2. Step 2: Convert to fraction form
    6,279.31/8,665.52 = 3,922.82/x
  3. Step 3: Cross multiply
    6,279.31x = 8,665.52 × 3,922.82
  4. Step 4: Simplify right side
    6,279.31x = 33,993,275.17
  5. Step 5: Solve for x
    x = 33,993,275.17/6,279.31
  6. Step 6: Final answer
    x = 5,413.54

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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.