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Finding the Fourth Proportional to 3,729.68, 5,603.22 and 3,519.52

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Solution

The fourth proportional to 3,729.68, 5,603.22 and 3,519.52 is: 5,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.68 : 5,603.22 = 3,519.52 : x
  2. Step 2: Convert to fraction form
    3,729.68/5,603.22 = 3,519.52/x
  3. Step 3: Cross multiply
    3,729.68x = 5,603.22 × 3,519.52
  4. Step 4: Simplify right side
    3,729.68x = 19,720,644.85
  5. Step 5: Solve for x
    x = 19,720,644.85/3,729.68
  6. Step 6: Final answer
    x = 5,287.49

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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.