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Finding the Fourth Proportional to 3,683.26, 5,517.60 and 3,136.60

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Solution

The fourth proportional to 3,683.26, 5,517.60 and 3,136.60 is: 4,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.26 : 5,517.60 = 3,136.60 : x
  2. Step 2: Convert to fraction form
    3,683.26/5,517.60 = 3,136.60/x
  3. Step 3: Cross multiply
    3,683.26x = 5,517.60 × 3,136.60
  4. Step 4: Simplify right side
    3,683.26x = 17,306,504.16
  5. Step 5: Solve for x
    x = 17,306,504.16/3,683.26
  6. Step 6: Final answer
    x = 4,698.69

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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.