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Finding the Fourth Proportional to 3,942.90, 5,440.95 and 2,174.49

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Solution

The fourth proportional to 3,942.90, 5,440.95 and 2,174.49 is: 3,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.90 : 5,440.95 = 2,174.49 : x
  2. Step 2: Convert to fraction form
    3,942.90/5,440.95 = 2,174.49/x
  3. Step 3: Cross multiply
    3,942.90x = 5,440.95 × 2,174.49
  4. Step 4: Simplify right side
    3,942.90x = 11,831,291.37
  5. Step 5: Solve for x
    x = 11,831,291.37/3,942.90
  6. Step 6: Final answer
    x = 3,000.66

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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.