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Finding the Fourth Proportional to 3,836.77, 5,294.81 and 2,243.55

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Solution

The fourth proportional to 3,836.77, 5,294.81 and 2,243.55 is: 3,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.77 : 5,294.81 = 2,243.55 : x
  2. Step 2: Convert to fraction form
    3,836.77/5,294.81 = 2,243.55/x
  3. Step 3: Cross multiply
    3,836.77x = 5,294.81 × 2,243.55
  4. Step 4: Simplify right side
    3,836.77x = 11,879,170.98
  5. Step 5: Solve for x
    x = 11,879,170.98/3,836.77
  6. Step 6: Final answer
    x = 3,096.14

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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.