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Finding the Fourth Proportional to 3,857.72, 5,789.62 and 1,983.54

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Solution

The fourth proportional to 3,857.72, 5,789.62 and 1,983.54 is: 2,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.72 : 5,789.62 = 1,983.54 : x
  2. Step 2: Convert to fraction form
    3,857.72/5,789.62 = 1,983.54/x
  3. Step 3: Cross multiply
    3,857.72x = 5,789.62 × 1,983.54
  4. Step 4: Simplify right side
    3,857.72x = 11,483,913.91
  5. Step 5: Solve for x
    x = 11,483,913.91/3,857.72
  6. Step 6: Final answer
    x = 2,976.87

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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.