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Finding the Fourth Proportional to 4,959.78, 6,844.44 and 2,863.86

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Solution

The fourth proportional to 4,959.78, 6,844.44 and 2,863.86 is: 3,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.78 : 6,844.44 = 2,863.86 : x
  2. Step 2: Convert to fraction form
    4,959.78/6,844.44 = 2,863.86/x
  3. Step 3: Cross multiply
    4,959.78x = 6,844.44 × 2,863.86
  4. Step 4: Simplify right side
    4,959.78x = 19,601,517.94
  5. Step 5: Solve for x
    x = 19,601,517.94/4,959.78
  6. Step 6: Final answer
    x = 3,952.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.