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Finding the Fourth Proportional to 5,927.82, 8,889.13 and 2,227.47

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Solution

The fourth proportional to 5,927.82, 8,889.13 and 2,227.47 is: 3,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.82 : 8,889.13 = 2,227.47 : x
  2. Step 2: Convert to fraction form
    5,927.82/8,889.13 = 2,227.47/x
  3. Step 3: Cross multiply
    5,927.82x = 8,889.13 × 2,227.47
  4. Step 4: Simplify right side
    5,927.82x = 19,800,270.40
  5. Step 5: Solve for x
    x = 19,800,270.40/5,927.82
  6. Step 6: Final answer
    x = 3,340.23

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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.