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Finding the Fourth Proportional to 3,896.92, 5,377.62 and 2,324.20

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Solution

The fourth proportional to 3,896.92, 5,377.62 and 2,324.20 is: 3,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.92 : 5,377.62 = 2,324.20 : x
  2. Step 2: Convert to fraction form
    3,896.92/5,377.62 = 2,324.20/x
  3. Step 3: Cross multiply
    3,896.92x = 5,377.62 × 2,324.20
  4. Step 4: Simplify right side
    3,896.92x = 12,498,664.40
  5. Step 5: Solve for x
    x = 12,498,664.40/3,896.92
  6. Step 6: Final answer
    x = 3,207.32

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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.