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Finding the Fourth Proportional to 3,893.32, 5,832.96 and 2,136.43

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Solution

The fourth proportional to 3,893.32, 5,832.96 and 2,136.43 is: 3,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.32 : 5,832.96 = 2,136.43 : x
  2. Step 2: Convert to fraction form
    3,893.32/5,832.96 = 2,136.43/x
  3. Step 3: Cross multiply
    3,893.32x = 5,832.96 × 2,136.43
  4. Step 4: Simplify right side
    3,893.32x = 12,461,688.14
  5. Step 5: Solve for x
    x = 12,461,688.14/3,893.32
  6. Step 6: Final answer
    x = 3,200.79

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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.