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Finding the Fourth Proportional to 5,472.88, 8,215.02 and 2,554

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Solution

The fourth proportional to 5,472.88, 8,215.02 and 2,554 is: 3,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.88 : 8,215.02 = 2,554 : x
  2. Step 2: Convert to fraction form
    5,472.88/8,215.02 = 2,554/x
  3. Step 3: Cross multiply
    5,472.88x = 8,215.02 × 2,554
  4. Step 4: Simplify right side
    5,472.88x = 20,981,161.08
  5. Step 5: Solve for x
    x = 20,981,161.08/5,472.88
  6. Step 6: Final answer
    x = 3,833.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.