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Finding the Fourth Proportional to 5,834.45, 8,751.78 and 3,367.80

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Solution

The fourth proportional to 5,834.45, 8,751.78 and 3,367.80 is: 5,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.45 : 8,751.78 = 3,367.80 : x
  2. Step 2: Convert to fraction form
    5,834.45/8,751.78 = 3,367.80/x
  3. Step 3: Cross multiply
    5,834.45x = 8,751.78 × 3,367.80
  4. Step 4: Simplify right side
    5,834.45x = 29,474,244.68
  5. Step 5: Solve for x
    x = 29,474,244.68/5,834.45
  6. Step 6: Final answer
    x = 5,051.76

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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.