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Finding the Fourth Proportional to 3,424.37, 5,136.55 and 827.30

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Solution

The fourth proportional to 3,424.37, 5,136.55 and 827.30 is: 1,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.37 : 5,136.55 = 827.30 : x
  2. Step 2: Convert to fraction form
    3,424.37/5,136.55 = 827.30/x
  3. Step 3: Cross multiply
    3,424.37x = 5,136.55 × 827.30
  4. Step 4: Simplify right side
    3,424.37x = 4,249,478.59
  5. Step 5: Solve for x
    x = 4,249,478.59/3,424.37
  6. Step 6: Final answer
    x = 1,240.95

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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.