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Finding the Fourth Proportional to 3,896.43, 5,844.66 and 1,299.36

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Solution

The fourth proportional to 3,896.43, 5,844.66 and 1,299.36 is: 1,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.43 : 5,844.66 = 1,299.36 : x
  2. Step 2: Convert to fraction form
    3,896.43/5,844.66 = 1,299.36/x
  3. Step 3: Cross multiply
    3,896.43x = 5,844.66 × 1,299.36
  4. Step 4: Simplify right side
    3,896.43x = 7,594,317.42
  5. Step 5: Solve for x
    x = 7,594,317.42/3,896.43
  6. Step 6: Final answer
    x = 1,949.05

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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.