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Finding the Fourth Proportional to 3,942.34, 5,440.49 and 2,149.82

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Solution

The fourth proportional to 3,942.34, 5,440.49 and 2,149.82 is: 2,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.34 : 5,440.49 = 2,149.82 : x
  2. Step 2: Convert to fraction form
    3,942.34/5,440.49 = 2,149.82/x
  3. Step 3: Cross multiply
    3,942.34x = 5,440.49 × 2,149.82
  4. Step 4: Simplify right side
    3,942.34x = 11,696,093.19
  5. Step 5: Solve for x
    x = 11,696,093.19/3,942.34
  6. Step 6: Final answer
    x = 2,966.79

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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.