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Finding the Fourth Proportional to 5,511.98, 7,608.09 and 4,519.63

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Solution

The fourth proportional to 5,511.98, 7,608.09 and 4,519.63 is: 6,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.98 : 7,608.09 = 4,519.63 : x
  2. Step 2: Convert to fraction form
    5,511.98/7,608.09 = 4,519.63/x
  3. Step 3: Cross multiply
    5,511.98x = 7,608.09 × 4,519.63
  4. Step 4: Simplify right side
    5,511.98x = 34,385,778.27
  5. Step 5: Solve for x
    x = 34,385,778.27/5,511.98
  6. Step 6: Final answer
    x = 6,238.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.