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Finding the Fourth Proportional to 3,644.46, 5,023.62 and 3,201.59

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Solution

The fourth proportional to 3,644.46, 5,023.62 and 3,201.59 is: 4,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.46 : 5,023.62 = 3,201.59 : x
  2. Step 2: Convert to fraction form
    3,644.46/5,023.62 = 3,201.59/x
  3. Step 3: Cross multiply
    3,644.46x = 5,023.62 × 3,201.59
  4. Step 4: Simplify right side
    3,644.46x = 16,083,584.11
  5. Step 5: Solve for x
    x = 16,083,584.11/3,644.46
  6. Step 6: Final answer
    x = 4,413.16

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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.