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Finding the Fourth Proportional to 4,136.51, 5,709.61 and 3,296.90

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Solution

The fourth proportional to 4,136.51, 5,709.61 and 3,296.90 is: 4,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.51 : 5,709.61 = 3,296.90 : x
  2. Step 2: Convert to fraction form
    4,136.51/5,709.61 = 3,296.90/x
  3. Step 3: Cross multiply
    4,136.51x = 5,709.61 × 3,296.90
  4. Step 4: Simplify right side
    4,136.51x = 18,824,020.01
  5. Step 5: Solve for x
    x = 18,824,020.01/4,136.51
  6. Step 6: Final answer
    x = 4,550.71

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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.