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Finding the Fourth Proportional to 5,966.82, 8,227.20 and 4,844.22

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Solution

The fourth proportional to 5,966.82, 8,227.20 and 4,844.22 is: 6,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.82 : 8,227.20 = 4,844.22 : x
  2. Step 2: Convert to fraction form
    5,966.82/8,227.20 = 4,844.22/x
  3. Step 3: Cross multiply
    5,966.82x = 8,227.20 × 4,844.22
  4. Step 4: Simplify right side
    5,966.82x = 39,854,366.78
  5. Step 5: Solve for x
    x = 39,854,366.78/5,966.82
  6. Step 6: Final answer
    x = 6,679.33

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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.