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Finding the Fourth Proportional to 6,149.89, 8,486.22 and 3,496.33

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Solution

The fourth proportional to 6,149.89, 8,486.22 and 3,496.33 is: 4,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.89 : 8,486.22 = 3,496.33 : x
  2. Step 2: Convert to fraction form
    6,149.89/8,486.22 = 3,496.33/x
  3. Step 3: Cross multiply
    6,149.89x = 8,486.22 × 3,496.33
  4. Step 4: Simplify right side
    6,149.89x = 29,670,625.57
  5. Step 5: Solve for x
    x = 29,670,625.57/6,149.89
  6. Step 6: Final answer
    x = 4,824.58

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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.