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Finding the Fourth Proportional to 6,215.92, 8,578.10 and 3,383.44

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Solution

The fourth proportional to 6,215.92, 8,578.10 and 3,383.44 is: 4,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.92 : 8,578.10 = 3,383.44 : x
  2. Step 2: Convert to fraction form
    6,215.92/8,578.10 = 3,383.44/x
  3. Step 3: Cross multiply
    6,215.92x = 8,578.10 × 3,383.44
  4. Step 4: Simplify right side
    6,215.92x = 29,023,486.66
  5. Step 5: Solve for x
    x = 29,023,486.66/6,215.92
  6. Step 6: Final answer
    x = 4,669.22

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