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Finding the Fourth Proportional to 3,942.78, 5,442.30 and 3,143.31

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Solution

The fourth proportional to 3,942.78, 5,442.30 and 3,143.31 is: 4,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.78 : 5,442.30 = 3,143.31 : x
  2. Step 2: Convert to fraction form
    3,942.78/5,442.30 = 3,143.31/x
  3. Step 3: Cross multiply
    3,942.78x = 5,442.30 × 3,143.31
  4. Step 4: Simplify right side
    3,942.78x = 17,106,836.01
  5. Step 5: Solve for x
    x = 17,106,836.01/3,942.78
  6. Step 6: Final answer
    x = 4,338.78

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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.