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Finding the Fourth Proportional to 3,941.97, 5,910.27 and 1,965.09

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Solution

The fourth proportional to 3,941.97, 5,910.27 and 1,965.09 is: 2,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.97 : 5,910.27 = 1,965.09 : x
  2. Step 2: Convert to fraction form
    3,941.97/5,910.27 = 1,965.09/x
  3. Step 3: Cross multiply
    3,941.97x = 5,910.27 × 1,965.09
  4. Step 4: Simplify right side
    3,941.97x = 11,614,212.47
  5. Step 5: Solve for x
    x = 11,614,212.47/3,941.97
  6. Step 6: Final answer
    x = 2,946.30

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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.