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Finding the Fourth Proportional to 3,765.39, 5,184.11 and 3,233.22

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Solution

The fourth proportional to 3,765.39, 5,184.11 and 3,233.22 is: 4,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.39 : 5,184.11 = 3,233.22 : x
  2. Step 2: Convert to fraction form
    3,765.39/5,184.11 = 3,233.22/x
  3. Step 3: Cross multiply
    3,765.39x = 5,184.11 × 3,233.22
  4. Step 4: Simplify right side
    3,765.39x = 16,761,351.97
  5. Step 5: Solve for x
    x = 16,761,351.97/3,765.39
  6. Step 6: Final answer
    x = 4,451.43

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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.