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Finding the Fourth Proportional to 3,983.26, 5,945.57 and 3,466.90

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Solution

The fourth proportional to 3,983.26, 5,945.57 and 3,466.90 is: 5,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.26 : 5,945.57 = 3,466.90 : x
  2. Step 2: Convert to fraction form
    3,983.26/5,945.57 = 3,466.90/x
  3. Step 3: Cross multiply
    3,983.26x = 5,945.57 × 3,466.90
  4. Step 4: Simplify right side
    3,983.26x = 20,612,696.63
  5. Step 5: Solve for x
    x = 20,612,696.63/3,983.26
  6. Step 6: Final answer
    x = 5,174.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.