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Finding the Fourth Proportional to 3,489, 5,234.31 and 2,513.37

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Solution

The fourth proportional to 3,489, 5,234.31 and 2,513.37 is: 3,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489 : 5,234.31 = 2,513.37 : x
  2. Step 2: Convert to fraction form
    3,489/5,234.31 = 2,513.37/x
  3. Step 3: Cross multiply
    3,489x = 5,234.31 × 2,513.37
  4. Step 4: Simplify right side
    3,489x = 13,155,757.72
  5. Step 5: Solve for x
    x = 13,155,757.72/3,489
  6. Step 6: Final answer
    x = 3,770.64

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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.