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Finding the Fourth Proportional to 5,942.94, 8,201.54 and 3,425.44

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Solution

The fourth proportional to 5,942.94, 8,201.54 and 3,425.44 is: 4,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.94 : 8,201.54 = 3,425.44 : x
  2. Step 2: Convert to fraction form
    5,942.94/8,201.54 = 3,425.44/x
  3. Step 3: Cross multiply
    5,942.94x = 8,201.54 × 3,425.44
  4. Step 4: Simplify right side
    5,942.94x = 28,093,883.18
  5. Step 5: Solve for x
    x = 28,093,883.18/5,942.94
  6. Step 6: Final answer
    x = 4,727.27

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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.