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Finding the Fourth Proportional to 3,942.49, 5,440.91 and 2,286.49

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Solution

The fourth proportional to 3,942.49, 5,440.91 and 2,286.49 is: 3,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.49 : 5,440.91 = 2,286.49 : x
  2. Step 2: Convert to fraction form
    3,942.49/5,440.91 = 2,286.49/x
  3. Step 3: Cross multiply
    3,942.49x = 5,440.91 × 2,286.49
  4. Step 4: Simplify right side
    3,942.49x = 12,440,574.87
  5. Step 5: Solve for x
    x = 12,440,574.87/3,942.49
  6. Step 6: Final answer
    x = 3,155.51

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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.