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Finding the Fourth Proportional to 4,906.51, 6,770.49 and 2,781.62

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Solution

The fourth proportional to 4,906.51, 6,770.49 and 2,781.62 is: 3,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.51 : 6,770.49 = 2,781.62 : x
  2. Step 2: Convert to fraction form
    4,906.51/6,770.49 = 2,781.62/x
  3. Step 3: Cross multiply
    4,906.51x = 6,770.49 × 2,781.62
  4. Step 4: Simplify right side
    4,906.51x = 18,832,930.39
  5. Step 5: Solve for x
    x = 18,832,930.39/4,906.51
  6. Step 6: Final answer
    x = 3,838.36

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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.