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Finding the Fourth Proportional to 5,204.99, 7,183.40 and 2,847.49

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Solution

The fourth proportional to 5,204.99, 7,183.40 and 2,847.49 is: 3,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.99 : 7,183.40 = 2,847.49 : x
  2. Step 2: Convert to fraction form
    5,204.99/7,183.40 = 2,847.49/x
  3. Step 3: Cross multiply
    5,204.99x = 7,183.40 × 2,847.49
  4. Step 4: Simplify right side
    5,204.99x = 20,454,627.47
  5. Step 5: Solve for x
    x = 20,454,627.47/5,204.99
  6. Step 6: Final answer
    x = 3,929.81

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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.