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Finding the Fourth Proportional to 3,136.39, 4,704.81 and 1,056.38

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Solution

The fourth proportional to 3,136.39, 4,704.81 and 1,056.38 is: 1,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.39 : 4,704.81 = 1,056.38 : x
  2. Step 2: Convert to fraction form
    3,136.39/4,704.81 = 1,056.38/x
  3. Step 3: Cross multiply
    3,136.39x = 4,704.81 × 1,056.38
  4. Step 4: Simplify right side
    3,136.39x = 4,970,067.19
  5. Step 5: Solve for x
    x = 4,970,067.19/3,136.39
  6. Step 6: Final answer
    x = 1,584.65

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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.