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Finding the Fourth Proportional to 5,472.88, 8,212.56 and 2,012.56

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Solution

The fourth proportional to 5,472.88, 8,212.56 and 2,012.56 is: 3,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.88 : 8,212.56 = 2,012.56 : x
  2. Step 2: Convert to fraction form
    5,472.88/8,212.56 = 2,012.56/x
  3. Step 3: Cross multiply
    5,472.88x = 8,212.56 × 2,012.56
  4. Step 4: Simplify right side
    5,472.88x = 16,528,269.75
  5. Step 5: Solve for x
    x = 16,528,269.75/5,472.88
  6. Step 6: Final answer
    x = 3,020.03

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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.