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Finding the Fourth Proportional to 3,487.67, 5,231.69 and 1,022.69

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Solution

The fourth proportional to 3,487.67, 5,231.69 and 1,022.69 is: 1,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.67 : 5,231.69 = 1,022.69 : x
  2. Step 2: Convert to fraction form
    3,487.67/5,231.69 = 1,022.69/x
  3. Step 3: Cross multiply
    3,487.67x = 5,231.69 × 1,022.69
  4. Step 4: Simplify right side
    3,487.67x = 5,350,408.85
  5. Step 5: Solve for x
    x = 5,350,408.85/3,487.67
  6. Step 6: Final answer
    x = 1,534.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.