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Finding the Fourth Proportional to 3,832.88, 5,753.33 and 3,396.92

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Solution

The fourth proportional to 3,832.88, 5,753.33 and 3,396.92 is: 5,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.88 : 5,753.33 = 3,396.92 : x
  2. Step 2: Convert to fraction form
    3,832.88/5,753.33 = 3,396.92/x
  3. Step 3: Cross multiply
    3,832.88x = 5,753.33 × 3,396.92
  4. Step 4: Simplify right side
    3,832.88x = 19,543,555.99
  5. Step 5: Solve for x
    x = 19,543,555.99/3,832.88
  6. Step 6: Final answer
    x = 5,098.93

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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.