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Finding the Fourth Proportional to 5,976.09, 8,247.42 and 3,324.33

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Solution

The fourth proportional to 5,976.09, 8,247.42 and 3,324.33 is: 4,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.09 : 8,247.42 = 3,324.33 : x
  2. Step 2: Convert to fraction form
    5,976.09/8,247.42 = 3,324.33/x
  3. Step 3: Cross multiply
    5,976.09x = 8,247.42 × 3,324.33
  4. Step 4: Simplify right side
    5,976.09x = 27,417,145.73
  5. Step 5: Solve for x
    x = 27,417,145.73/5,976.09
  6. Step 6: Final answer
    x = 4,587.81

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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.