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Finding the Fourth Proportional to 3,942.54, 5,440.95 and 2,174.13

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Solution

The fourth proportional to 3,942.54, 5,440.95 and 2,174.13 is: 3,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.54 : 5,440.95 = 2,174.13 : x
  2. Step 2: Convert to fraction form
    3,942.54/5,440.95 = 2,174.13/x
  3. Step 3: Cross multiply
    3,942.54x = 5,440.95 × 2,174.13
  4. Step 4: Simplify right side
    3,942.54x = 11,829,332.62
  5. Step 5: Solve for x
    x = 11,829,332.62/3,942.54
  6. Step 6: Final answer
    x = 3,000.43

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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.