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Finding the Fourth Proportional to 4,099.60, 6,146.26 and 1,906.73

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Solution

The fourth proportional to 4,099.60, 6,146.26 and 1,906.73 is: 2,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.60 : 6,146.26 = 1,906.73 : x
  2. Step 2: Convert to fraction form
    4,099.60/6,146.26 = 1,906.73/x
  3. Step 3: Cross multiply
    4,099.60x = 6,146.26 × 1,906.73
  4. Step 4: Simplify right side
    4,099.60x = 11,719,258.33
  5. Step 5: Solve for x
    x = 11,719,258.33/4,099.60
  6. Step 6: Final answer
    x = 2,858.63

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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.