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Finding the Fourth Proportional to 5,940.86, 8,198.29 and 3,288.21

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Solution

The fourth proportional to 5,940.86, 8,198.29 and 3,288.21 is: 4,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.86 : 8,198.29 = 3,288.21 : x
  2. Step 2: Convert to fraction form
    5,940.86/8,198.29 = 3,288.21/x
  3. Step 3: Cross multiply
    5,940.86x = 8,198.29 × 3,288.21
  4. Step 4: Simplify right side
    5,940.86x = 26,957,709.39
  5. Step 5: Solve for x
    x = 26,957,709.39/5,940.86
  6. Step 6: Final answer
    x = 4,537.68

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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.