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Finding the Fourth Proportional to 5,488.56, 8,227.44 and 2,369.28

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Solution

The fourth proportional to 5,488.56, 8,227.44 and 2,369.28 is: 3,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.56 : 8,227.44 = 2,369.28 : x
  2. Step 2: Convert to fraction form
    5,488.56/8,227.44 = 2,369.28/x
  3. Step 3: Cross multiply
    5,488.56x = 8,227.44 × 2,369.28
  4. Step 4: Simplify right side
    5,488.56x = 19,493,109.04
  5. Step 5: Solve for x
    x = 19,493,109.04/5,488.56
  6. Step 6: Final answer
    x = 3,551.59

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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.