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Finding the Fourth Proportional to 4,099.17, 6,149.97 and 1,909.20

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Solution

The fourth proportional to 4,099.17, 6,149.97 and 1,909.20 is: 2,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.17 : 6,149.97 = 1,909.20 : x
  2. Step 2: Convert to fraction form
    4,099.17/6,149.97 = 1,909.20/x
  3. Step 3: Cross multiply
    4,099.17x = 6,149.97 × 1,909.20
  4. Step 4: Simplify right side
    4,099.17x = 11,741,522.72
  5. Step 5: Solve for x
    x = 11,741,522.72/4,099.17
  6. Step 6: Final answer
    x = 2,864.37

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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.