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Finding the Fourth Proportional to 3,620.26, 5,431.20 and 1,155.22

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Solution

The fourth proportional to 3,620.26, 5,431.20 and 1,155.22 is: 1,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.26 : 5,431.20 = 1,155.22 : x
  2. Step 2: Convert to fraction form
    3,620.26/5,431.20 = 1,155.22/x
  3. Step 3: Cross multiply
    3,620.26x = 5,431.20 × 1,155.22
  4. Step 4: Simplify right side
    3,620.26x = 6,274,230.86
  5. Step 5: Solve for x
    x = 6,274,230.86/3,620.26
  6. Step 6: Final answer
    x = 1,733.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.