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Finding the Fourth Proportional to 5,757.67, 8,621.10 and 3,289.09

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Solution

The fourth proportional to 5,757.67, 8,621.10 and 3,289.09 is: 4,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.67 : 8,621.10 = 3,289.09 : x
  2. Step 2: Convert to fraction form
    5,757.67/8,621.10 = 3,289.09/x
  3. Step 3: Cross multiply
    5,757.67x = 8,621.10 × 3,289.09
  4. Step 4: Simplify right side
    5,757.67x = 28,355,573.80
  5. Step 5: Solve for x
    x = 28,355,573.80/5,757.67
  6. Step 6: Final answer
    x = 4,924.83

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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.