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Finding the Fourth Proportional to 5,482.25, 8,227.02 and 2,560.79

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Solution

The fourth proportional to 5,482.25, 8,227.02 and 2,560.79 is: 3,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.25 : 8,227.02 = 2,560.79 : x
  2. Step 2: Convert to fraction form
    5,482.25/8,227.02 = 2,560.79/x
  3. Step 3: Cross multiply
    5,482.25x = 8,227.02 × 2,560.79
  4. Step 4: Simplify right side
    5,482.25x = 21,067,629.41
  5. Step 5: Solve for x
    x = 21,067,629.41/5,482.25
  6. Step 6: Final answer
    x = 3,842.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.