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Finding the Fourth Proportional to 5,796.39, 8,694.66 and 3,834.57

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Solution

The fourth proportional to 5,796.39, 8,694.66 and 3,834.57 is: 5,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.39 : 8,694.66 = 3,834.57 : x
  2. Step 2: Convert to fraction form
    5,796.39/8,694.66 = 3,834.57/x
  3. Step 3: Cross multiply
    5,796.39x = 8,694.66 × 3,834.57
  4. Step 4: Simplify right side
    5,796.39x = 33,340,282.40
  5. Step 5: Solve for x
    x = 33,340,282.40/5,796.39
  6. Step 6: Final answer
    x = 5,751.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.