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Finding the Fourth Proportional to 3,286.44, 4,930.50 and 2,702.40

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Solution

The fourth proportional to 3,286.44, 4,930.50 and 2,702.40 is: 4,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.44 : 4,930.50 = 2,702.40 : x
  2. Step 2: Convert to fraction form
    3,286.44/4,930.50 = 2,702.40/x
  3. Step 3: Cross multiply
    3,286.44x = 4,930.50 × 2,702.40
  4. Step 4: Simplify right side
    3,286.44x = 13,324,183.20
  5. Step 5: Solve for x
    x = 13,324,183.20/3,286.44
  6. Step 6: Final answer
    x = 4,054.29

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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.