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Finding the Fourth Proportional to 4,481.28, 6,721.28 and 1,194.66

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Solution

The fourth proportional to 4,481.28, 6,721.28 and 1,194.66 is: 1,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.28 : 6,721.28 = 1,194.66 : x
  2. Step 2: Convert to fraction form
    4,481.28/6,721.28 = 1,194.66/x
  3. Step 3: Cross multiply
    4,481.28x = 6,721.28 × 1,194.66
  4. Step 4: Simplify right side
    4,481.28x = 8,029,644.36
  5. Step 5: Solve for x
    x = 8,029,644.36/4,481.28
  6. Step 6: Final answer
    x = 1,791.82

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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.