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Finding the Fourth Proportional to 3,826.25, 5,272.14 and 3,563.29

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Solution

The fourth proportional to 3,826.25, 5,272.14 and 3,563.29 is: 4,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.25 : 5,272.14 = 3,563.29 : x
  2. Step 2: Convert to fraction form
    3,826.25/5,272.14 = 3,563.29/x
  3. Step 3: Cross multiply
    3,826.25x = 5,272.14 × 3,563.29
  4. Step 4: Simplify right side
    3,826.25x = 18,786,163.74
  5. Step 5: Solve for x
    x = 18,786,163.74/3,826.25
  6. Step 6: Final answer
    x = 4,909.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.