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Finding the Fourth Proportional to 4,285, 5,914.11 and 2,422

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Solution

The fourth proportional to 4,285, 5,914.11 and 2,422 is: 3,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285 : 5,914.11 = 2,422 : x
  2. Step 2: Convert to fraction form
    4,285/5,914.11 = 2,422/x
  3. Step 3: Cross multiply
    4,285x = 5,914.11 × 2,422
  4. Step 4: Simplify right side
    4,285x = 14,323,974.42
  5. Step 5: Solve for x
    x = 14,323,974.42/4,285
  6. Step 6: Final answer
    x = 3,342.82

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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.