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Finding the Fourth Proportional to 3,136.97, 4,704.78 and 1,286.30

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Solution

The fourth proportional to 3,136.97, 4,704.78 and 1,286.30 is: 1,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.97 : 4,704.78 = 1,286.30 : x
  2. Step 2: Convert to fraction form
    3,136.97/4,704.78 = 1,286.30/x
  3. Step 3: Cross multiply
    3,136.97x = 4,704.78 × 1,286.30
  4. Step 4: Simplify right side
    3,136.97x = 6,051,758.51
  5. Step 5: Solve for x
    x = 6,051,758.51/3,136.97
  6. Step 6: Final answer
    x = 1,929.17

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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.