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Finding the Fourth Proportional to 5,136.80, 7,712.40 and 3,192.80

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Solution

The fourth proportional to 5,136.80, 7,712.40 and 3,192.80 is: 4,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.80 : 7,712.40 = 3,192.80 : x
  2. Step 2: Convert to fraction form
    5,136.80/7,712.40 = 3,192.80/x
  3. Step 3: Cross multiply
    5,136.80x = 7,712.40 × 3,192.80
  4. Step 4: Simplify right side
    5,136.80x = 24,624,150.72
  5. Step 5: Solve for x
    x = 24,624,150.72/5,136.80
  6. Step 6: Final answer
    x = 4,793.68

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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.