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Finding the Fourth Proportional to 4,302, 5,936.72 and 2,439

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Solution

The fourth proportional to 4,302, 5,936.72 and 2,439 is: 3,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302 : 5,936.72 = 2,439 : x
  2. Step 2: Convert to fraction form
    4,302/5,936.72 = 2,439/x
  3. Step 3: Cross multiply
    4,302x = 5,936.72 × 2,439
  4. Step 4: Simplify right side
    4,302x = 14,479,660.08
  5. Step 5: Solve for x
    x = 14,479,660.08/4,302
  6. Step 6: Final answer
    x = 3,365.80

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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.