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Finding the Fourth Proportional to 5,305.20, 7,320.96 and 2,947.20

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Solution

The fourth proportional to 5,305.20, 7,320.96 and 2,947.20 is: 4,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.20 : 7,320.96 = 2,947.20 : x
  2. Step 2: Convert to fraction form
    5,305.20/7,320.96 = 2,947.20/x
  3. Step 3: Cross multiply
    5,305.20x = 7,320.96 × 2,947.20
  4. Step 4: Simplify right side
    5,305.20x = 21,576,333.31
  5. Step 5: Solve for x
    x = 21,576,333.31/5,305.20
  6. Step 6: Final answer
    x = 4,067.02

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