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Finding the Fourth Proportional to 3,633.92, 5,453.59 and 1,413.10

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Solution

The fourth proportional to 3,633.92, 5,453.59 and 1,413.10 is: 2,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.92 : 5,453.59 = 1,413.10 : x
  2. Step 2: Convert to fraction form
    3,633.92/5,453.59 = 1,413.10/x
  3. Step 3: Cross multiply
    3,633.92x = 5,453.59 × 1,413.10
  4. Step 4: Simplify right side
    3,633.92x = 7,706,468.03
  5. Step 5: Solve for x
    x = 7,706,468.03/3,633.92
  6. Step 6: Final answer
    x = 2,120.70

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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.