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Finding the Fourth Proportional to 4,251.67, 6,375.24 and 1,477.55

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Solution

The fourth proportional to 4,251.67, 6,375.24 and 1,477.55 is: 2,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.67 : 6,375.24 = 1,477.55 : x
  2. Step 2: Convert to fraction form
    4,251.67/6,375.24 = 1,477.55/x
  3. Step 3: Cross multiply
    4,251.67x = 6,375.24 × 1,477.55
  4. Step 4: Simplify right side
    4,251.67x = 9,419,751.80
  5. Step 5: Solve for x
    x = 9,419,751.80/4,251.67
  6. Step 6: Final answer
    x = 2,215.54

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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.