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Finding the Fourth Proportional to 4,906.41, 6,770.70 and 2,782.13

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Solution

The fourth proportional to 4,906.41, 6,770.70 and 2,782.13 is: 3,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.41 : 6,770.70 = 2,782.13 : x
  2. Step 2: Convert to fraction form
    4,906.41/6,770.70 = 2,782.13/x
  3. Step 3: Cross multiply
    4,906.41x = 6,770.70 × 2,782.13
  4. Step 4: Simplify right side
    4,906.41x = 18,836,972.91
  5. Step 5: Solve for x
    x = 18,836,972.91/4,906.41
  6. Step 6: Final answer
    x = 3,839.26

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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.