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Finding the Fourth Proportional to 4,136.91, 5,709.05 and 2,369.09

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Solution

The fourth proportional to 4,136.91, 5,709.05 and 2,369.09 is: 3,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.91 : 5,709.05 = 2,369.09 : x
  2. Step 2: Convert to fraction form
    4,136.91/5,709.05 = 2,369.09/x
  3. Step 3: Cross multiply
    4,136.91x = 5,709.05 × 2,369.09
  4. Step 4: Simplify right side
    4,136.91x = 13,525,212.87
  5. Step 5: Solve for x
    x = 13,525,212.87/4,136.91
  6. Step 6: Final answer
    x = 3,269.40

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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.