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Finding the Fourth Proportional to 5,489.67, 8,234.64 and 2,716.50

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Solution

The fourth proportional to 5,489.67, 8,234.64 and 2,716.50 is: 4,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.67 : 8,234.64 = 2,716.50 : x
  2. Step 2: Convert to fraction form
    5,489.67/8,234.64 = 2,716.50/x
  3. Step 3: Cross multiply
    5,489.67x = 8,234.64 × 2,716.50
  4. Step 4: Simplify right side
    5,489.67x = 22,369,399.56
  5. Step 5: Solve for x
    x = 22,369,399.56/5,489.67
  6. Step 6: Final answer
    x = 4,074.82

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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.