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Finding the Fourth Proportional to 3,841.66, 5,757.09 and 2,195.74

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Solution

The fourth proportional to 3,841.66, 5,757.09 and 2,195.74 is: 3,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.66 : 5,757.09 = 2,195.74 : x
  2. Step 2: Convert to fraction form
    3,841.66/5,757.09 = 2,195.74/x
  3. Step 3: Cross multiply
    3,841.66x = 5,757.09 × 2,195.74
  4. Step 4: Simplify right side
    3,841.66x = 12,641,072.80
  5. Step 5: Solve for x
    x = 12,641,072.80/3,841.66
  6. Step 6: Final answer
    x = 3,290.52

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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.