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Finding the Fourth Proportional to 4,185.68, 6,273.05 and 3,209.73

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Solution

The fourth proportional to 4,185.68, 6,273.05 and 3,209.73 is: 4,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.68 : 6,273.05 = 3,209.73 : x
  2. Step 2: Convert to fraction form
    4,185.68/6,273.05 = 3,209.73/x
  3. Step 3: Cross multiply
    4,185.68x = 6,273.05 × 3,209.73
  4. Step 4: Simplify right side
    4,185.68x = 20,134,757.20
  5. Step 5: Solve for x
    x = 20,134,757.20/4,185.68
  6. Step 6: Final answer
    x = 4,810.40

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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.