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Finding the Fourth Proportional to 5,205.66, 7,183.82 and 2,847.80

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Solution

The fourth proportional to 5,205.66, 7,183.82 and 2,847.80 is: 3,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.66 : 7,183.82 = 2,847.80 : x
  2. Step 2: Convert to fraction form
    5,205.66/7,183.82 = 2,847.80/x
  3. Step 3: Cross multiply
    5,205.66x = 7,183.82 × 2,847.80
  4. Step 4: Simplify right side
    5,205.66x = 20,458,082.60
  5. Step 5: Solve for x
    x = 20,458,082.60/5,205.66
  6. Step 6: Final answer
    x = 3,929.97

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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.