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Finding the Fourth Proportional to 3,832.73, 5,740.88 and 2,367.44

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Solution

The fourth proportional to 3,832.73, 5,740.88 and 2,367.44 is: 3,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.73 : 5,740.88 = 2,367.44 : x
  2. Step 2: Convert to fraction form
    3,832.73/5,740.88 = 2,367.44/x
  3. Step 3: Cross multiply
    3,832.73x = 5,740.88 × 2,367.44
  4. Step 4: Simplify right side
    3,832.73x = 13,591,166.16
  5. Step 5: Solve for x
    x = 13,591,166.16/3,832.73
  6. Step 6: Final answer
    x = 3,546.08

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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.