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Finding the Fourth Proportional to 3,906.49, 5,856.52 and 1,825.46

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Solution

The fourth proportional to 3,906.49, 5,856.52 and 1,825.46 is: 2,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.49 : 5,856.52 = 1,825.46 : x
  2. Step 2: Convert to fraction form
    3,906.49/5,856.52 = 1,825.46/x
  3. Step 3: Cross multiply
    3,906.49x = 5,856.52 × 1,825.46
  4. Step 4: Simplify right side
    3,906.49x = 10,690,833.87
  5. Step 5: Solve for x
    x = 10,690,833.87/3,906.49
  6. Step 6: Final answer
    x = 2,736.69

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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.