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Finding the Fourth Proportional to 5,236.68, 7,850.04 and 1,947.52

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Solution

The fourth proportional to 5,236.68, 7,850.04 and 1,947.52 is: 2,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.68 : 7,850.04 = 1,947.52 : x
  2. Step 2: Convert to fraction form
    5,236.68/7,850.04 = 1,947.52/x
  3. Step 3: Cross multiply
    5,236.68x = 7,850.04 × 1,947.52
  4. Step 4: Simplify right side
    5,236.68x = 15,288,109.90
  5. Step 5: Solve for x
    x = 15,288,109.90/5,236.68
  6. Step 6: Final answer
    x = 2,919.43

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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.