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Finding the Fourth Proportional to 3,722.47, 5,136.84 and 2,231.22

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Solution

The fourth proportional to 3,722.47, 5,136.84 and 2,231.22 is: 3,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.47 : 5,136.84 = 2,231.22 : x
  2. Step 2: Convert to fraction form
    3,722.47/5,136.84 = 2,231.22/x
  3. Step 3: Cross multiply
    3,722.47x = 5,136.84 × 2,231.22
  4. Step 4: Simplify right side
    3,722.47x = 11,461,420.14
  5. Step 5: Solve for x
    x = 11,461,420.14/3,722.47
  6. Step 6: Final answer
    x = 3,078.98

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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.