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Finding the Fourth Proportional to 4,183.07, 5,772.74 and 2,294.73

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Solution

The fourth proportional to 4,183.07, 5,772.74 and 2,294.73 is: 3,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.07 : 5,772.74 = 2,294.73 : x
  2. Step 2: Convert to fraction form
    4,183.07/5,772.74 = 2,294.73/x
  3. Step 3: Cross multiply
    4,183.07x = 5,772.74 × 2,294.73
  4. Step 4: Simplify right side
    4,183.07x = 13,246,868.19
  5. Step 5: Solve for x
    x = 13,246,868.19/4,183.07
  6. Step 6: Final answer
    x = 3,166.79

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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.