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Finding the Fourth Proportional to 3,424.76, 5,137.13 and 827.69

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Solution

The fourth proportional to 3,424.76, 5,137.13 and 827.69 is: 1,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.76 : 5,137.13 = 827.69 : x
  2. Step 2: Convert to fraction form
    3,424.76/5,137.13 = 827.69/x
  3. Step 3: Cross multiply
    3,424.76x = 5,137.13 × 827.69
  4. Step 4: Simplify right side
    3,424.76x = 4,251,966.04
  5. Step 5: Solve for x
    x = 4,251,966.04/3,424.76
  6. Step 6: Final answer
    x = 1,241.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.