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Finding the Fourth Proportional to 3,424.14, 5,136.21 and 827.08

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Solution

The fourth proportional to 3,424.14, 5,136.21 and 827.08 is: 1,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.14 : 5,136.21 = 827.08 : x
  2. Step 2: Convert to fraction form
    3,424.14/5,136.21 = 827.08/x
  3. Step 3: Cross multiply
    3,424.14x = 5,136.21 × 827.08
  4. Step 4: Simplify right side
    3,424.14x = 4,248,043.73
  5. Step 5: Solve for x
    x = 4,248,043.73/3,424.14
  6. Step 6: Final answer
    x = 1,240.62

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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.