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Finding the Fourth Proportional to 4,136.81, 5,708.88 and 2,644.38

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Solution

The fourth proportional to 4,136.81, 5,708.88 and 2,644.38 is: 3,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.81 : 5,708.88 = 2,644.38 : x
  2. Step 2: Convert to fraction form
    4,136.81/5,708.88 = 2,644.38/x
  3. Step 3: Cross multiply
    4,136.81x = 5,708.88 × 2,644.38
  4. Step 4: Simplify right side
    4,136.81x = 15,096,448.09
  5. Step 5: Solve for x
    x = 15,096,448.09/4,136.81
  6. Step 6: Final answer
    x = 3,649.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.