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Finding the Fourth Proportional to 3,832.38, 5,748.00 and 1,199.27

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Solution

The fourth proportional to 3,832.38, 5,748.00 and 1,199.27 is: 1,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.38 : 5,748.00 = 1,199.27 : x
  2. Step 2: Convert to fraction form
    3,832.38/5,748.00 = 1,199.27/x
  3. Step 3: Cross multiply
    3,832.38x = 5,748.00 × 1,199.27
  4. Step 4: Simplify right side
    3,832.38x = 6,893,413.83
  5. Step 5: Solve for x
    x = 6,893,413.83/3,832.38
  6. Step 6: Final answer
    x = 1,798.73

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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.