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Finding the Fourth Proportional to 3,136.35, 4,705.33 and 2,213.71

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Solution

The fourth proportional to 3,136.35, 4,705.33 and 2,213.71 is: 3,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.35 : 4,705.33 = 2,213.71 : x
  2. Step 2: Convert to fraction form
    3,136.35/4,705.33 = 2,213.71/x
  3. Step 3: Cross multiply
    3,136.35x = 4,705.33 × 2,213.71
  4. Step 4: Simplify right side
    3,136.35x = 10,416,201.48
  5. Step 5: Solve for x
    x = 10,416,201.48/3,136.35
  6. Step 6: Final answer
    x = 3,321.12

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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.