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Finding the Fourth Proportional to 3,209.77, 4,429.24 and 2,163.25

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Solution

The fourth proportional to 3,209.77, 4,429.24 and 2,163.25 is: 2,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.77 : 4,429.24 = 2,163.25 : x
  2. Step 2: Convert to fraction form
    3,209.77/4,429.24 = 2,163.25/x
  3. Step 3: Cross multiply
    3,209.77x = 4,429.24 × 2,163.25
  4. Step 4: Simplify right side
    3,209.77x = 9,581,553.43
  5. Step 5: Solve for x
    x = 9,581,553.43/3,209.77
  6. Step 6: Final answer
    x = 2,985.12

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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.