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Finding the Fourth Proportional to 3,942.61, 5,440.82 and 2,174.21

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Solution

The fourth proportional to 3,942.61, 5,440.82 and 2,174.21 is: 3,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.61 : 5,440.82 = 2,174.21 : x
  2. Step 2: Convert to fraction form
    3,942.61/5,440.82 = 2,174.21/x
  3. Step 3: Cross multiply
    3,942.61x = 5,440.82 × 2,174.21
  4. Step 4: Simplify right side
    3,942.61x = 11,829,474.38
  5. Step 5: Solve for x
    x = 11,829,474.38/3,942.61
  6. Step 6: Final answer
    x = 3,000.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.