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Finding the Fourth Proportional to 4,136.84, 6,194.22 and 3,480.74

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Solution

The fourth proportional to 4,136.84, 6,194.22 and 3,480.74 is: 5,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.84 : 6,194.22 = 3,480.74 : x
  2. Step 2: Convert to fraction form
    4,136.84/6,194.22 = 3,480.74/x
  3. Step 3: Cross multiply
    4,136.84x = 6,194.22 × 3,480.74
  4. Step 4: Simplify right side
    4,136.84x = 21,560,469.32
  5. Step 5: Solve for x
    x = 21,560,469.32/4,136.84
  6. Step 6: Final answer
    x = 5,211.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.