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Finding the Fourth Proportional to 3,947.95, 5,919.49 and 1,351.09

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Solution

The fourth proportional to 3,947.95, 5,919.49 and 1,351.09 is: 2,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.95 : 5,919.49 = 1,351.09 : x
  2. Step 2: Convert to fraction form
    3,947.95/5,919.49 = 1,351.09/x
  3. Step 3: Cross multiply
    3,947.95x = 5,919.49 × 1,351.09
  4. Step 4: Simplify right side
    3,947.95x = 7,997,763.74
  5. Step 5: Solve for x
    x = 7,997,763.74/3,947.95
  6. Step 6: Final answer
    x = 2,025.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.