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Finding the Fourth Proportional to 4,136.97, 6,205.39 and 1,504.44

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Solution

The fourth proportional to 4,136.97, 6,205.39 and 1,504.44 is: 2,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.97 : 6,205.39 = 1,504.44 : x
  2. Step 2: Convert to fraction form
    4,136.97/6,205.39 = 1,504.44/x
  3. Step 3: Cross multiply
    4,136.97x = 6,205.39 × 1,504.44
  4. Step 4: Simplify right side
    4,136.97x = 9,335,636.93
  5. Step 5: Solve for x
    x = 9,335,636.93/4,136.97
  6. Step 6: Final answer
    x = 2,256.64

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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.