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Finding the Fourth Proportional to 3,722.44, 5,136.72 and 2,043.50

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Solution

The fourth proportional to 3,722.44, 5,136.72 and 2,043.50 is: 2,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.44 : 5,136.72 = 2,043.50 : x
  2. Step 2: Convert to fraction form
    3,722.44/5,136.72 = 2,043.50/x
  3. Step 3: Cross multiply
    3,722.44x = 5,136.72 × 2,043.50
  4. Step 4: Simplify right side
    3,722.44x = 10,496,887.32
  5. Step 5: Solve for x
    x = 10,496,887.32/3,722.44
  6. Step 6: Final answer
    x = 2,819.89

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