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Finding the Fourth Proportional to 3,136.44, 4,706.82 and 1,084.44

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Solution

The fourth proportional to 3,136.44, 4,706.82 and 1,084.44 is: 1,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.44 : 4,706.82 = 1,084.44 : x
  2. Step 2: Convert to fraction form
    3,136.44/4,706.82 = 1,084.44/x
  3. Step 3: Cross multiply
    3,136.44x = 4,706.82 × 1,084.44
  4. Step 4: Simplify right side
    3,136.44x = 5,104,263.88
  5. Step 5: Solve for x
    x = 5,104,263.88/3,136.44
  6. Step 6: Final answer
    x = 1,627.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.