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Finding the Fourth Proportional to 3,905.40, 5,850.90 and 3,286.20

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Solution

The fourth proportional to 3,905.40, 5,850.90 and 3,286.20 is: 4,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.40 : 5,850.90 = 3,286.20 : x
  2. Step 2: Convert to fraction form
    3,905.40/5,850.90 = 3,286.20/x
  3. Step 3: Cross multiply
    3,905.40x = 5,850.90 × 3,286.20
  4. Step 4: Simplify right side
    3,905.40x = 19,227,227.58
  5. Step 5: Solve for x
    x = 19,227,227.58/3,905.40
  6. Step 6: Final answer
    x = 4,923.24

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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.