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Finding the Fourth Proportional to 5,205.23, 7,181.04 and 3,413.14

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Solution

The fourth proportional to 5,205.23, 7,181.04 and 3,413.14 is: 4,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.23 : 7,181.04 = 3,413.14 : x
  2. Step 2: Convert to fraction form
    5,205.23/7,181.04 = 3,413.14/x
  3. Step 3: Cross multiply
    5,205.23x = 7,181.04 × 3,413.14
  4. Step 4: Simplify right side
    5,205.23x = 24,509,894.87
  5. Step 5: Solve for x
    x = 24,509,894.87/5,205.23
  6. Step 6: Final answer
    x = 4,708.71

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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.