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Finding the Fourth Proportional to 5,305.92, 7,321.68 and 2,947.92

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Solution

The fourth proportional to 5,305.92, 7,321.68 and 2,947.92 is: 4,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.92 : 7,321.68 = 2,947.92 : x
  2. Step 2: Convert to fraction form
    5,305.92/7,321.68 = 2,947.92/x
  3. Step 3: Cross multiply
    5,305.92x = 7,321.68 × 2,947.92
  4. Step 4: Simplify right side
    5,305.92x = 21,583,726.91
  5. Step 5: Solve for x
    x = 21,583,726.91/5,305.92
  6. Step 6: Final answer
    x = 4,067.86

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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.