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Finding the Fourth Proportional to 3,683.70, 5,517.45 and 3,197.70

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Solution

The fourth proportional to 3,683.70, 5,517.45 and 3,197.70 is: 4,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.70 : 5,517.45 = 3,197.70 : x
  2. Step 2: Convert to fraction form
    3,683.70/5,517.45 = 3,197.70/x
  3. Step 3: Cross multiply
    3,683.70x = 5,517.45 × 3,197.70
  4. Step 4: Simplify right side
    3,683.70x = 17,643,149.87
  5. Step 5: Solve for x
    x = 17,643,149.87/3,683.70
  6. Step 6: Final answer
    x = 4,789.52

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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.