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Finding the Fourth Proportional to 5,687.94, 8,537.99 and 3,227.57

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Solution

The fourth proportional to 5,687.94, 8,537.99 and 3,227.57 is: 4,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.94 : 8,537.99 = 3,227.57 : x
  2. Step 2: Convert to fraction form
    5,687.94/8,537.99 = 3,227.57/x
  3. Step 3: Cross multiply
    5,687.94x = 8,537.99 × 3,227.57
  4. Step 4: Simplify right side
    5,687.94x = 27,556,901.56
  5. Step 5: Solve for x
    x = 27,556,901.56/5,687.94
  6. Step 6: Final answer
    x = 4,844.79

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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.