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Finding the Fourth Proportional to 4,906.39, 7,362.71 and 1,786.09

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Solution

The fourth proportional to 4,906.39, 7,362.71 and 1,786.09 is: 2,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.39 : 7,362.71 = 1,786.09 : x
  2. Step 2: Convert to fraction form
    4,906.39/7,362.71 = 1,786.09/x
  3. Step 3: Cross multiply
    4,906.39x = 7,362.71 × 1,786.09
  4. Step 4: Simplify right side
    4,906.39x = 13,150,471.55
  5. Step 5: Solve for x
    x = 13,150,471.55/4,906.39
  6. Step 6: Final answer
    x = 2,680.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.