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Finding the Fourth Proportional to 3,942.89, 5,441.04 and 2,174.48

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Solution

The fourth proportional to 3,942.89, 5,441.04 and 2,174.48 is: 3,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.89 : 5,441.04 = 2,174.48 : x
  2. Step 2: Convert to fraction form
    3,942.89/5,441.04 = 2,174.48/x
  3. Step 3: Cross multiply
    3,942.89x = 5,441.04 × 2,174.48
  4. Step 4: Simplify right side
    3,942.89x = 11,831,432.66
  5. Step 5: Solve for x
    x = 11,831,432.66/3,942.89
  6. Step 6: Final answer
    x = 3,000.70

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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.