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Finding the Fourth Proportional to 3,424.13, 5,136.18 and 827.07

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Solution

The fourth proportional to 3,424.13, 5,136.18 and 827.07 is: 1,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.13 : 5,136.18 = 827.07 : x
  2. Step 2: Convert to fraction form
    3,424.13/5,136.18 = 827.07/x
  3. Step 3: Cross multiply
    3,424.13x = 5,136.18 × 827.07
  4. Step 4: Simplify right side
    3,424.13x = 4,247,954.71
  5. Step 5: Solve for x
    x = 4,247,954.71/3,424.13
  6. Step 6: Final answer
    x = 1,240.59

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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.