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Finding the Fourth Proportional to 3,942.49, 5,906.77 and 3,513.46

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Solution

The fourth proportional to 3,942.49, 5,906.77 and 3,513.46 is: 5,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.49 : 5,906.77 = 3,513.46 : x
  2. Step 2: Convert to fraction form
    3,942.49/5,906.77 = 3,513.46/x
  3. Step 3: Cross multiply
    3,942.49x = 5,906.77 × 3,513.46
  4. Step 4: Simplify right side
    3,942.49x = 20,753,200.12
  5. Step 5: Solve for x
    x = 20,753,200.12/3,942.49
  6. Step 6: Final answer
    x = 5,263.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.