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Finding the Fourth Proportional to 3,593, 5,370.20 and 3,240.80

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Solution

The fourth proportional to 3,593, 5,370.20 and 3,240.80 is: 4,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593 : 5,370.20 = 3,240.80 : x
  2. Step 2: Convert to fraction form
    3,593/5,370.20 = 3,240.80/x
  3. Step 3: Cross multiply
    3,593x = 5,370.20 × 3,240.80
  4. Step 4: Simplify right side
    3,593x = 17,403,744.16
  5. Step 5: Solve for x
    x = 17,403,744.16/3,593
  6. Step 6: Final answer
    x = 4,843.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.