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Finding the Fourth Proportional to 4,951.44, 6,834 and 2,855.28

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Solution

The fourth proportional to 4,951.44, 6,834 and 2,855.28 is: 3,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.44 : 6,834 = 2,855.28 : x
  2. Step 2: Convert to fraction form
    4,951.44/6,834 = 2,855.28/x
  3. Step 3: Cross multiply
    4,951.44x = 6,834 × 2,855.28
  4. Step 4: Simplify right side
    4,951.44x = 19,512,983.52
  5. Step 5: Solve for x
    x = 19,512,983.52/4,951.44
  6. Step 6: Final answer
    x = 3,940.87

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