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Finding the Fourth Proportional to 3,995.92, 5,514.30 and 2,178.97

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Solution

The fourth proportional to 3,995.92, 5,514.30 and 2,178.97 is: 3,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.92 : 5,514.30 = 2,178.97 : x
  2. Step 2: Convert to fraction form
    3,995.92/5,514.30 = 2,178.97/x
  3. Step 3: Cross multiply
    3,995.92x = 5,514.30 × 2,178.97
  4. Step 4: Simplify right side
    3,995.92x = 12,015,480.49
  5. Step 5: Solve for x
    x = 12,015,480.49/3,995.92
  6. Step 6: Final answer
    x = 3,006.94

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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.