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Finding the Fourth Proportional to 3,861.80, 5,329.62 and 3,231.22

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Solution

The fourth proportional to 3,861.80, 5,329.62 and 3,231.22 is: 4,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.80 : 5,329.62 = 3,231.22 : x
  2. Step 2: Convert to fraction form
    3,861.80/5,329.62 = 3,231.22/x
  3. Step 3: Cross multiply
    3,861.80x = 5,329.62 × 3,231.22
  4. Step 4: Simplify right side
    3,861.80x = 17,221,148.09
  5. Step 5: Solve for x
    x = 17,221,148.09/3,861.80
  6. Step 6: Final answer
    x = 4,459.36

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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.