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Finding the Fourth Proportional to 3,759.20, 5,638.80 and 1,293.80

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Solution

The fourth proportional to 3,759.20, 5,638.80 and 1,293.80 is: 1,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.20 : 5,638.80 = 1,293.80 : x
  2. Step 2: Convert to fraction form
    3,759.20/5,638.80 = 1,293.80/x
  3. Step 3: Cross multiply
    3,759.20x = 5,638.80 × 1,293.80
  4. Step 4: Simplify right side
    3,759.20x = 7,295,479.44
  5. Step 5: Solve for x
    x = 7,295,479.44/3,759.20
  6. Step 6: Final answer
    x = 1,940.70

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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.