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Finding the Fourth Proportional to 5,891.11, 8,836.66 and 1,731.22

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Solution

The fourth proportional to 5,891.11, 8,836.66 and 1,731.22 is: 2,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.11 : 8,836.66 = 1,731.22 : x
  2. Step 2: Convert to fraction form
    5,891.11/8,836.66 = 1,731.22/x
  3. Step 3: Cross multiply
    5,891.11x = 8,836.66 × 1,731.22
  4. Step 4: Simplify right side
    5,891.11x = 15,298,202.53
  5. Step 5: Solve for x
    x = 15,298,202.53/5,891.11
  6. Step 6: Final answer
    x = 2,596.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.