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Finding the Fourth Proportional to 3,806.80, 5,702.96 and 2,243.52

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Solution

The fourth proportional to 3,806.80, 5,702.96 and 2,243.52 is: 3,361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.80 : 5,702.96 = 2,243.52 : x
  2. Step 2: Convert to fraction form
    3,806.80/5,702.96 = 2,243.52/x
  3. Step 3: Cross multiply
    3,806.80x = 5,702.96 × 2,243.52
  4. Step 4: Simplify right side
    3,806.80x = 12,794,704.82
  5. Step 5: Solve for x
    x = 12,794,704.82/3,806.80
  6. Step 6: Final answer
    x = 3,361.01

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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.