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Finding the Fourth Proportional to 3,940.82, 5,438.84 and 2,369.22

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Solution

The fourth proportional to 3,940.82, 5,438.84 and 2,369.22 is: 3,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.82 : 5,438.84 = 2,369.22 : x
  2. Step 2: Convert to fraction form
    3,940.82/5,438.84 = 2,369.22/x
  3. Step 3: Cross multiply
    3,940.82x = 5,438.84 × 2,369.22
  4. Step 4: Simplify right side
    3,940.82x = 12,885,796.66
  5. Step 5: Solve for x
    x = 12,885,796.66/3,940.82
  6. Step 6: Final answer
    x = 3,269.83

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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.