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Finding the Fourth Proportional to 4,906.82, 6,768.69 and 3,228.50

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Solution

The fourth proportional to 4,906.82, 6,768.69 and 3,228.50 is: 4,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.82 : 6,768.69 = 3,228.50 : x
  2. Step 2: Convert to fraction form
    4,906.82/6,768.69 = 3,228.50/x
  3. Step 3: Cross multiply
    4,906.82x = 6,768.69 × 3,228.50
  4. Step 4: Simplify right side
    4,906.82x = 21,852,715.67
  5. Step 5: Solve for x
    x = 21,852,715.67/4,906.82
  6. Step 6: Final answer
    x = 4,453.54

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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.