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Finding the Fourth Proportional to 5,471.26, 8,205.60 and 2,183.46

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Solution

The fourth proportional to 5,471.26, 8,205.60 and 2,183.46 is: 3,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.26 : 8,205.60 = 2,183.46 : x
  2. Step 2: Convert to fraction form
    5,471.26/8,205.60 = 2,183.46/x
  3. Step 3: Cross multiply
    5,471.26x = 8,205.60 × 2,183.46
  4. Step 4: Simplify right side
    5,471.26x = 17,916,599.38
  5. Step 5: Solve for x
    x = 17,916,599.38/5,471.26
  6. Step 6: Final answer
    x = 3,274.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.