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Finding the Fourth Proportional to 5,305.62, 7,321.68 and 2,947.70

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Solution

The fourth proportional to 5,305.62, 7,321.68 and 2,947.70 is: 4,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.62 : 7,321.68 = 2,947.70 : x
  2. Step 2: Convert to fraction form
    5,305.62/7,321.68 = 2,947.70/x
  3. Step 3: Cross multiply
    5,305.62x = 7,321.68 × 2,947.70
  4. Step 4: Simplify right side
    5,305.62x = 21,582,116.14
  5. Step 5: Solve for x
    x = 21,582,116.14/5,305.62
  6. Step 6: Final answer
    x = 4,067.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.