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Finding the Fourth Proportional to 5,305.30, 7,321.69 and 2,947.42

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Solution

The fourth proportional to 5,305.30, 7,321.69 and 2,947.42 is: 4,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.30 : 7,321.69 = 2,947.42 : x
  2. Step 2: Convert to fraction form
    5,305.30/7,321.69 = 2,947.42/x
  3. Step 3: Cross multiply
    5,305.30x = 7,321.69 × 2,947.42
  4. Step 4: Simplify right side
    5,305.30x = 21,580,108.38
  5. Step 5: Solve for x
    x = 21,580,108.38/5,305.30
  6. Step 6: Final answer
    x = 4,067.65

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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.