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Finding the Fourth Proportional to 3,942.58, 5,440.72 and 2,174.14

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Solution

The fourth proportional to 3,942.58, 5,440.72 and 2,174.14 is: 3,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.58 : 5,440.72 = 2,174.14 : x
  2. Step 2: Convert to fraction form
    3,942.58/5,440.72 = 2,174.14/x
  3. Step 3: Cross multiply
    3,942.58x = 5,440.72 × 2,174.14
  4. Step 4: Simplify right side
    3,942.58x = 11,828,876.11
  5. Step 5: Solve for x
    x = 11,828,876.11/3,942.58
  6. Step 6: Final answer
    x = 3,000.29

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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.