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Finding the Fourth Proportional to 3,722.00, 5,136.41 and 2,043.41

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Solution

The fourth proportional to 3,722.00, 5,136.41 and 2,043.41 is: 2,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.00 : 5,136.41 = 2,043.41 : x
  2. Step 2: Convert to fraction form
    3,722.00/5,136.41 = 2,043.41/x
  3. Step 3: Cross multiply
    3,722.00x = 5,136.41 × 2,043.41
  4. Step 4: Simplify right side
    3,722.00x = 10,495,770.98
  5. Step 5: Solve for x
    x = 10,495,770.98/3,722.00
  6. Step 6: Final answer
    x = 2,819.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.