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Finding the Fourth Proportional to 4,136.80, 6,205.20 and 3,727.20

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Solution

The fourth proportional to 4,136.80, 6,205.20 and 3,727.20 is: 5,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.80 : 6,205.20 = 3,727.20 : x
  2. Step 2: Convert to fraction form
    4,136.80/6,205.20 = 3,727.20/x
  3. Step 3: Cross multiply
    4,136.80x = 6,205.20 × 3,727.20
  4. Step 4: Simplify right side
    4,136.80x = 23,128,021.44
  5. Step 5: Solve for x
    x = 23,128,021.44/4,136.80
  6. Step 6: Final answer
    x = 5,590.80

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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.