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Finding the Fourth Proportional to 3,905.22, 5,389.20 and 2,136.83

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Solution

The fourth proportional to 3,905.22, 5,389.20 and 2,136.83 is: 2,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.22 : 5,389.20 = 2,136.83 : x
  2. Step 2: Convert to fraction form
    3,905.22/5,389.20 = 2,136.83/x
  3. Step 3: Cross multiply
    3,905.22x = 5,389.20 × 2,136.83
  4. Step 4: Simplify right side
    3,905.22x = 11,515,777.29
  5. Step 5: Solve for x
    x = 11,515,777.29/3,905.22
  6. Step 6: Final answer
    x = 2,948.82

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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.