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Finding the Fourth Proportional to 5,940.62, 8,197.71 and 3,288.44

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Solution

The fourth proportional to 5,940.62, 8,197.71 and 3,288.44 is: 4,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.62 : 8,197.71 = 3,288.44 : x
  2. Step 2: Convert to fraction form
    5,940.62/8,197.71 = 3,288.44/x
  3. Step 3: Cross multiply
    5,940.62x = 8,197.71 × 3,288.44
  4. Step 4: Simplify right side
    5,940.62x = 26,957,677.47
  5. Step 5: Solve for x
    x = 26,957,677.47/5,940.62
  6. Step 6: Final answer
    x = 4,537.86

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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.