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Finding the Fourth Proportional to 4,917.76, 7,375.20 and 4,049.92

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Solution

The fourth proportional to 4,917.76, 7,375.20 and 4,049.92 is: 6,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.76 : 7,375.20 = 4,049.92 : x
  2. Step 2: Convert to fraction form
    4,917.76/7,375.20 = 4,049.92/x
  3. Step 3: Cross multiply
    4,917.76x = 7,375.20 × 4,049.92
  4. Step 4: Simplify right side
    4,917.76x = 29,868,969.98
  5. Step 5: Solve for x
    x = 29,868,969.98/4,917.76
  6. Step 6: Final answer
    x = 6,073.69

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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.