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Finding the Fourth Proportional to 4,272, 6,408.24 and 1,194.24

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Solution

The fourth proportional to 4,272, 6,408.24 and 1,194.24 is: 1,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272 : 6,408.24 = 1,194.24 : x
  2. Step 2: Convert to fraction form
    4,272/6,408.24 = 1,194.24/x
  3. Step 3: Cross multiply
    4,272x = 6,408.24 × 1,194.24
  4. Step 4: Simplify right side
    4,272x = 7,652,976.54
  5. Step 5: Solve for x
    x = 7,652,976.54/4,272
  6. Step 6: Final answer
    x = 1,791.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.