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Finding the Fourth Proportional to 5,626.94, 8,431.46 and 3,771.22

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Solution

The fourth proportional to 5,626.94, 8,431.46 and 3,771.22 is: 5,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.94 : 8,431.46 = 3,771.22 : x
  2. Step 2: Convert to fraction form
    5,626.94/8,431.46 = 3,771.22/x
  3. Step 3: Cross multiply
    5,626.94x = 8,431.46 × 3,771.22
  4. Step 4: Simplify right side
    5,626.94x = 31,796,890.58
  5. Step 5: Solve for x
    x = 31,796,890.58/5,626.94
  6. Step 6: Final answer
    x = 5,650.83

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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.