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Finding the Fourth Proportional to 4,906.50, 6,770.94 and 2,782.44

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Solution

The fourth proportional to 4,906.50, 6,770.94 and 2,782.44 is: 3,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.50 : 6,770.94 = 2,782.44 : x
  2. Step 2: Convert to fraction form
    4,906.50/6,770.94 = 2,782.44/x
  3. Step 3: Cross multiply
    4,906.50x = 6,770.94 × 2,782.44
  4. Step 4: Simplify right side
    4,906.50x = 18,839,734.29
  5. Step 5: Solve for x
    x = 18,839,734.29/4,906.50
  6. Step 6: Final answer
    x = 3,839.75

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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.