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Finding the Fourth Proportional to 5,891.82, 8,841.66 and 2,194.43

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Solution

The fourth proportional to 5,891.82, 8,841.66 and 2,194.43 is: 3,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.82 : 8,841.66 = 2,194.43 : x
  2. Step 2: Convert to fraction form
    5,891.82/8,841.66 = 2,194.43/x
  3. Step 3: Cross multiply
    5,891.82x = 8,841.66 × 2,194.43
  4. Step 4: Simplify right side
    5,891.82x = 19,402,359.75
  5. Step 5: Solve for x
    x = 19,402,359.75/5,891.82
  6. Step 6: Final answer
    x = 3,293.10

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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.