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Finding the Fourth Proportional to 3,422.68, 5,134.14 and 2,267.80

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Solution

The fourth proportional to 3,422.68, 5,134.14 and 2,267.80 is: 3,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.68 : 5,134.14 = 2,267.80 : x
  2. Step 2: Convert to fraction form
    3,422.68/5,134.14 = 2,267.80/x
  3. Step 3: Cross multiply
    3,422.68x = 5,134.14 × 2,267.80
  4. Step 4: Simplify right side
    3,422.68x = 11,643,202.69
  5. Step 5: Solve for x
    x = 11,643,202.69/3,422.68
  6. Step 6: Final answer
    x = 3,401.78

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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.