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Finding the Fourth Proportional to 3,424.38, 5,136.56 and 827.32

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Solution

The fourth proportional to 3,424.38, 5,136.56 and 827.32 is: 1,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.38 : 5,136.56 = 827.32 : x
  2. Step 2: Convert to fraction form
    3,424.38/5,136.56 = 827.32/x
  3. Step 3: Cross multiply
    3,424.38x = 5,136.56 × 827.32
  4. Step 4: Simplify right side
    3,424.38x = 4,249,549.00
  5. Step 5: Solve for x
    x = 4,249,549.00/3,424.38
  6. Step 6: Final answer
    x = 1,240.97

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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.