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Finding the Fourth Proportional to 3,981.36, 5,942.88 and 3,692.24

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Solution

The fourth proportional to 3,981.36, 5,942.88 and 3,692.24 is: 5,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.36 : 5,942.88 = 3,692.24 : x
  2. Step 2: Convert to fraction form
    3,981.36/5,942.88 = 3,692.24/x
  3. Step 3: Cross multiply
    3,981.36x = 5,942.88 × 3,692.24
  4. Step 4: Simplify right side
    3,981.36x = 21,942,539.25
  5. Step 5: Solve for x
    x = 21,942,539.25/3,981.36
  6. Step 6: Final answer
    x = 5,511.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.