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Finding the Fourth Proportional to 4,958.97, 6,843.47 and 2,834.34

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Solution

The fourth proportional to 4,958.97, 6,843.47 and 2,834.34 is: 3,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.97 : 6,843.47 = 2,834.34 : x
  2. Step 2: Convert to fraction form
    4,958.97/6,843.47 = 2,834.34/x
  3. Step 3: Cross multiply
    4,958.97x = 6,843.47 × 2,834.34
  4. Step 4: Simplify right side
    4,958.97x = 19,396,706.59
  5. Step 5: Solve for x
    x = 19,396,706.59/4,958.97
  6. Step 6: Final answer
    x = 3,911.44

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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.