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Finding the Fourth Proportional to 3,947.57, 5,919.67 and 1,480.68

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Solution

The fourth proportional to 3,947.57, 5,919.67 and 1,480.68 is: 2,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.57 : 5,919.67 = 1,480.68 : x
  2. Step 2: Convert to fraction form
    3,947.57/5,919.67 = 1,480.68/x
  3. Step 3: Cross multiply
    3,947.57x = 5,919.67 × 1,480.68
  4. Step 4: Simplify right side
    3,947.57x = 8,765,129.57
  5. Step 5: Solve for x
    x = 8,765,129.57/3,947.57
  6. Step 6: Final answer
    x = 2,220.39

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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.