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Finding the Fourth Proportional to 5,965.11, 8,240.94 and 3,974.94

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Solution

The fourth proportional to 5,965.11, 8,240.94 and 3,974.94 is: 5,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.11 : 8,240.94 = 3,974.94 : x
  2. Step 2: Convert to fraction form
    5,965.11/8,240.94 = 3,974.94/x
  3. Step 3: Cross multiply
    5,965.11x = 8,240.94 × 3,974.94
  4. Step 4: Simplify right side
    5,965.11x = 32,757,242.04
  5. Step 5: Solve for x
    x = 32,757,242.04/5,965.11
  6. Step 6: Final answer
    x = 5,491.47

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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.