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Finding the Fourth Proportional to 3,683.67, 5,073.60 and 3,186.33

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Solution

The fourth proportional to 3,683.67, 5,073.60 and 3,186.33 is: 4,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.67 : 5,073.60 = 3,186.33 : x
  2. Step 2: Convert to fraction form
    3,683.67/5,073.60 = 3,186.33/x
  3. Step 3: Cross multiply
    3,683.67x = 5,073.60 × 3,186.33
  4. Step 4: Simplify right side
    3,683.67x = 16,166,163.89
  5. Step 5: Solve for x
    x = 16,166,163.89/3,683.67
  6. Step 6: Final answer
    x = 4,388.60

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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.