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Finding the Fourth Proportional to 3,286.99, 4,937.78 and 3,183.31

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Solution

The fourth proportional to 3,286.99, 4,937.78 and 3,183.31 is: 4,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.99 : 4,937.78 = 3,183.31 : x
  2. Step 2: Convert to fraction form
    3,286.99/4,937.78 = 3,183.31/x
  3. Step 3: Cross multiply
    3,286.99x = 4,937.78 × 3,183.31
  4. Step 4: Simplify right side
    3,286.99x = 15,718,484.45
  5. Step 5: Solve for x
    x = 15,718,484.45/3,286.99
  6. Step 6: Final answer
    x = 4,782.03

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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.