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Finding the Fourth Proportional to 3,227.76, 4,844.52 and 1,843.92

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Solution

The fourth proportional to 3,227.76, 4,844.52 and 1,843.92 is: 2,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.76 : 4,844.52 = 1,843.92 : x
  2. Step 2: Convert to fraction form
    3,227.76/4,844.52 = 1,843.92/x
  3. Step 3: Cross multiply
    3,227.76x = 4,844.52 × 1,843.92
  4. Step 4: Simplify right side
    3,227.76x = 8,932,907.32
  5. Step 5: Solve for x
    x = 8,932,907.32/3,227.76
  6. Step 6: Final answer
    x = 2,767.53

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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.