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Finding the Fourth Proportional to 4,099.71, 6,149.60 and 2,544.24

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Solution

The fourth proportional to 4,099.71, 6,149.60 and 2,544.24 is: 3,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.71 : 6,149.60 = 2,544.24 : x
  2. Step 2: Convert to fraction form
    4,099.71/6,149.60 = 2,544.24/x
  3. Step 3: Cross multiply
    4,099.71x = 6,149.60 × 2,544.24
  4. Step 4: Simplify right side
    4,099.71x = 15,646,058.30
  5. Step 5: Solve for x
    x = 15,646,058.30/4,099.71
  6. Step 6: Final answer
    x = 3,816.38

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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.