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Finding the Fourth Proportional to 3,229.47, 4,843.57 and 888.88

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Solution

The fourth proportional to 3,229.47, 4,843.57 and 888.88 is: 1,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.47 : 4,843.57 = 888.88 : x
  2. Step 2: Convert to fraction form
    3,229.47/4,843.57 = 888.88/x
  3. Step 3: Cross multiply
    3,229.47x = 4,843.57 × 888.88
  4. Step 4: Simplify right side
    3,229.47x = 4,305,323.84
  5. Step 5: Solve for x
    x = 4,305,323.84/3,229.47
  6. Step 6: Final answer
    x = 1,333.14

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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.