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Finding the Fourth Proportional to 4,181.97, 6,267.49 and 1,713.90

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Solution

The fourth proportional to 4,181.97, 6,267.49 and 1,713.90 is: 2,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.97 : 6,267.49 = 1,713.90 : x
  2. Step 2: Convert to fraction form
    4,181.97/6,267.49 = 1,713.90/x
  3. Step 3: Cross multiply
    4,181.97x = 6,267.49 × 1,713.90
  4. Step 4: Simplify right side
    4,181.97x = 10,741,876.76
  5. Step 5: Solve for x
    x = 10,741,876.76/4,181.97
  6. Step 6: Final answer
    x = 2,568.61

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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.