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Finding the Fourth Proportional to 4,096.67, 6,147 and 1,906.92

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Solution

The fourth proportional to 4,096.67, 6,147 and 1,906.92 is: 2,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.67 : 6,147 = 1,906.92 : x
  2. Step 2: Convert to fraction form
    4,096.67/6,147 = 1,906.92/x
  3. Step 3: Cross multiply
    4,096.67x = 6,147 × 1,906.92
  4. Step 4: Simplify right side
    4,096.67x = 11,721,837.24
  5. Step 5: Solve for x
    x = 11,721,837.24/4,096.67
  6. Step 6: Final answer
    x = 2,861.31

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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.