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Finding the Fourth Proportional to 4,136.75, 6,209.23 and 3,365.84

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Solution

The fourth proportional to 4,136.75, 6,209.23 and 3,365.84 is: 5,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.75 : 6,209.23 = 3,365.84 : x
  2. Step 2: Convert to fraction form
    4,136.75/6,209.23 = 3,365.84/x
  3. Step 3: Cross multiply
    4,136.75x = 6,209.23 × 3,365.84
  4. Step 4: Simplify right side
    4,136.75x = 20,899,274.70
  5. Step 5: Solve for x
    x = 20,899,274.70/4,136.75
  6. Step 6: Final answer
    x = 5,052.10

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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.