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Finding the Fourth Proportional to 3,136.44, 4,329.20 and 2,074.80

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Solution

The fourth proportional to 3,136.44, 4,329.20 and 2,074.80 is: 2,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.44 : 4,329.20 = 2,074.80 : x
  2. Step 2: Convert to fraction form
    3,136.44/4,329.20 = 2,074.80/x
  3. Step 3: Cross multiply
    3,136.44x = 4,329.20 × 2,074.80
  4. Step 4: Simplify right side
    3,136.44x = 8,982,224.16
  5. Step 5: Solve for x
    x = 8,982,224.16/3,136.44
  6. Step 6: Final answer
    x = 2,863.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.