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Finding the Fourth Proportional to 5,976.90, 8,248.14 and 3,324.33

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Solution

The fourth proportional to 5,976.90, 8,248.14 and 3,324.33 is: 4,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.90 : 8,248.14 = 3,324.33 : x
  2. Step 2: Convert to fraction form
    5,976.90/8,248.14 = 3,324.33/x
  3. Step 3: Cross multiply
    5,976.90x = 8,248.14 × 3,324.33
  4. Step 4: Simplify right side
    5,976.90x = 27,419,539.25
  5. Step 5: Solve for x
    x = 27,419,539.25/5,976.90
  6. Step 6: Final answer
    x = 4,587.59

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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.