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Finding the Fourth Proportional to 3,942.73, 5,424.73 and 3,845.53

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Solution

The fourth proportional to 3,942.73, 5,424.73 and 3,845.53 is: 5,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.73 : 5,424.73 = 3,845.53 : x
  2. Step 2: Convert to fraction form
    3,942.73/5,424.73 = 3,845.53/x
  3. Step 3: Cross multiply
    3,942.73x = 5,424.73 × 3,845.53
  4. Step 4: Simplify right side
    3,942.73x = 20,860,961.96
  5. Step 5: Solve for x
    x = 20,860,961.96/3,942.73
  6. Step 6: Final answer
    x = 5,290.99

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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.