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Finding the Fourth Proportional to 5,305.96, 7,322.16 and 2,947.78

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Solution

The fourth proportional to 5,305.96, 7,322.16 and 2,947.78 is: 4,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.96 : 7,322.16 = 2,947.78 : x
  2. Step 2: Convert to fraction form
    5,305.96/7,322.16 = 2,947.78/x
  3. Step 3: Cross multiply
    5,305.96x = 7,322.16 × 2,947.78
  4. Step 4: Simplify right side
    5,305.96x = 21,584,116.80
  5. Step 5: Solve for x
    x = 21,584,116.80/5,305.96
  6. Step 6: Final answer
    x = 4,067.90

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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.