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Finding the Fourth Proportional to 4,136.70, 6,206.06 and 2,057.69

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Solution

The fourth proportional to 4,136.70, 6,206.06 and 2,057.69 is: 3,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.70 : 6,206.06 = 2,057.69 : x
  2. Step 2: Convert to fraction form
    4,136.70/6,206.06 = 2,057.69/x
  3. Step 3: Cross multiply
    4,136.70x = 6,206.06 × 2,057.69
  4. Step 4: Simplify right side
    4,136.70x = 12,770,121.72
  5. Step 5: Solve for x
    x = 12,770,121.72/4,136.70
  6. Step 6: Final answer
    x = 3,087.03

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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.