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Finding the Fourth Proportional to 4,906.50, 6,771.27 and 2,782.23

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Solution

The fourth proportional to 4,906.50, 6,771.27 and 2,782.23 is: 3,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.50 : 6,771.27 = 2,782.23 : x
  2. Step 2: Convert to fraction form
    4,906.50/6,771.27 = 2,782.23/x
  3. Step 3: Cross multiply
    4,906.50x = 6,771.27 × 2,782.23
  4. Step 4: Simplify right side
    4,906.50x = 18,839,230.53
  5. Step 5: Solve for x
    x = 18,839,230.53/4,906.50
  6. Step 6: Final answer
    x = 3,839.65

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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.