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Finding the Fourth Proportional to 3,691.03, 5,535.77 and 1,352.15

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Solution

The fourth proportional to 3,691.03, 5,535.77 and 1,352.15 is: 2,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.03 : 5,535.77 = 1,352.15 : x
  2. Step 2: Convert to fraction form
    3,691.03/5,535.77 = 1,352.15/x
  3. Step 3: Cross multiply
    3,691.03x = 5,535.77 × 1,352.15
  4. Step 4: Simplify right side
    3,691.03x = 7,485,197.10
  5. Step 5: Solve for x
    x = 7,485,197.10/3,691.03
  6. Step 6: Final answer
    x = 2,027.94

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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.