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Finding the Fourth Proportional to 4,940.84, 6,806.82 and 3,446.09

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Solution

The fourth proportional to 4,940.84, 6,806.82 and 3,446.09 is: 4,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.84 : 6,806.82 = 3,446.09 : x
  2. Step 2: Convert to fraction form
    4,940.84/6,806.82 = 3,446.09/x
  3. Step 3: Cross multiply
    4,940.84x = 6,806.82 × 3,446.09
  4. Step 4: Simplify right side
    4,940.84x = 23,456,897.10
  5. Step 5: Solve for x
    x = 23,456,897.10/4,940.84
  6. Step 6: Final answer
    x = 4,747.55

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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.