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Finding the Fourth Proportional to 5,687.82, 8,534.97 and 2,227.50

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Solution

The fourth proportional to 5,687.82, 8,534.97 and 2,227.50 is: 3,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.82 : 8,534.97 = 2,227.50 : x
  2. Step 2: Convert to fraction form
    5,687.82/8,534.97 = 2,227.50/x
  3. Step 3: Cross multiply
    5,687.82x = 8,534.97 × 2,227.50
  4. Step 4: Simplify right side
    5,687.82x = 19,011,645.68
  5. Step 5: Solve for x
    x = 19,011,645.68/5,687.82
  6. Step 6: Final answer
    x = 3,342.52

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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.