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Finding the Fourth Proportional to 5,891.82, 8,838.12 and 2,193.96

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Solution

The fourth proportional to 5,891.82, 8,838.12 and 2,193.96 is: 3,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.82 : 8,838.12 = 2,193.96 : x
  2. Step 2: Convert to fraction form
    5,891.82/8,838.12 = 2,193.96/x
  3. Step 3: Cross multiply
    5,891.82x = 8,838.12 × 2,193.96
  4. Step 4: Simplify right side
    5,891.82x = 19,390,481.76
  5. Step 5: Solve for x
    x = 19,390,481.76/5,891.82
  6. Step 6: Final answer
    x = 3,291.09

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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.