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Finding the Fourth Proportional to 3,946.68, 5,469.45 and 3,891

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Solution

The fourth proportional to 3,946.68, 5,469.45 and 3,891 is: 5,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.68 : 5,469.45 = 3,891 : x
  2. Step 2: Convert to fraction form
    3,946.68/5,469.45 = 3,891/x
  3. Step 3: Cross multiply
    3,946.68x = 5,469.45 × 3,891
  4. Step 4: Simplify right side
    3,946.68x = 21,281,629.95
  5. Step 5: Solve for x
    x = 21,281,629.95/3,946.68
  6. Step 6: Final answer
    x = 5,392.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.