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Finding the Fourth Proportional to 5,976.72, 8,247.83 and 3,324.38

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Solution

The fourth proportional to 5,976.72, 8,247.83 and 3,324.38 is: 4,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.72 : 8,247.83 = 3,324.38 : x
  2. Step 2: Convert to fraction form
    5,976.72/8,247.83 = 3,324.38/x
  3. Step 3: Cross multiply
    5,976.72x = 8,247.83 × 3,324.38
  4. Step 4: Simplify right side
    5,976.72x = 27,418,863.23
  5. Step 5: Solve for x
    x = 27,418,863.23/5,976.72
  6. Step 6: Final answer
    x = 4,587.61

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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.