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Finding the Fourth Proportional to 5,962.20, 8,224.20 and 3,837

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Solution

The fourth proportional to 5,962.20, 8,224.20 and 3,837 is: 5,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.20 : 8,224.20 = 3,837 : x
  2. Step 2: Convert to fraction form
    5,962.20/8,224.20 = 3,837/x
  3. Step 3: Cross multiply
    5,962.20x = 8,224.20 × 3,837
  4. Step 4: Simplify right side
    5,962.20x = 31,556,255.40
  5. Step 5: Solve for x
    x = 31,556,255.40/5,962.20
  6. Step 6: Final answer
    x = 5,292.72

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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.