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Finding the Fourth Proportional to 6,212.88, 8,573.77 and 3,418.38

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Solution

The fourth proportional to 6,212.88, 8,573.77 and 3,418.38 is: 4,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.88 : 8,573.77 = 3,418.38 : x
  2. Step 2: Convert to fraction form
    6,212.88/8,573.77 = 3,418.38/x
  3. Step 3: Cross multiply
    6,212.88x = 8,573.77 × 3,418.38
  4. Step 4: Simplify right side
    6,212.88x = 29,308,352.48
  5. Step 5: Solve for x
    x = 29,308,352.48/6,212.88
  6. Step 6: Final answer
    x = 4,717.36

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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.