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Finding the Fourth Proportional to 3,424.94, 5,137.44 and 827.88

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Solution

The fourth proportional to 3,424.94, 5,137.44 and 827.88 is: 1,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.94 : 5,137.44 = 827.88 : x
  2. Step 2: Convert to fraction form
    3,424.94/5,137.44 = 827.88/x
  3. Step 3: Cross multiply
    3,424.94x = 5,137.44 × 827.88
  4. Step 4: Simplify right side
    3,424.94x = 4,253,183.83
  5. Step 5: Solve for x
    x = 4,253,183.83/3,424.94
  6. Step 6: Final answer
    x = 1,241.83

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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.