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Finding the Fourth Proportional to 3,485.11, 5,229.19 and 1,636.09

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Solution

The fourth proportional to 3,485.11, 5,229.19 and 1,636.09 is: 2,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.11 : 5,229.19 = 1,636.09 : x
  2. Step 2: Convert to fraction form
    3,485.11/5,229.19 = 1,636.09/x
  3. Step 3: Cross multiply
    3,485.11x = 5,229.19 × 1,636.09
  4. Step 4: Simplify right side
    3,485.11x = 8,555,425.47
  5. Step 5: Solve for x
    x = 8,555,425.47/3,485.11
  6. Step 6: Final answer
    x = 2,454.85

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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.