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Finding the Fourth Proportional to 3,966.32, 5,947.32 and 2,019.44

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Solution

The fourth proportional to 3,966.32, 5,947.32 and 2,019.44 is: 3,028.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.32 : 5,947.32 = 2,019.44 : x
  2. Step 2: Convert to fraction form
    3,966.32/5,947.32 = 2,019.44/x
  3. Step 3: Cross multiply
    3,966.32x = 5,947.32 × 2,019.44
  4. Step 4: Simplify right side
    3,966.32x = 12,010,255.90
  5. Step 5: Solve for x
    x = 12,010,255.90/3,966.32
  6. Step 6: Final answer
    x = 3,028.06

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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.