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Finding the Fourth Proportional to 3,635.52, 5,453.24 and 1,327

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Solution

The fourth proportional to 3,635.52, 5,453.24 and 1,327 is: 1,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.52 : 5,453.24 = 1,327 : x
  2. Step 2: Convert to fraction form
    3,635.52/5,453.24 = 1,327/x
  3. Step 3: Cross multiply
    3,635.52x = 5,453.24 × 1,327
  4. Step 4: Simplify right side
    3,635.52x = 7,236,449.48
  5. Step 5: Solve for x
    x = 7,236,449.48/3,635.52
  6. Step 6: Final answer
    x = 1,990.49

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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.