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Finding the Fourth Proportional to 6,413.26, 8,849.42 and 3,580.30

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Solution

The fourth proportional to 6,413.26, 8,849.42 and 3,580.30 is: 4,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.26 : 8,849.42 = 3,580.30 : x
  2. Step 2: Convert to fraction form
    6,413.26/8,849.42 = 3,580.30/x
  3. Step 3: Cross multiply
    6,413.26x = 8,849.42 × 3,580.30
  4. Step 4: Simplify right side
    6,413.26x = 31,683,578.43
  5. Step 5: Solve for x
    x = 31,683,578.43/6,413.26
  6. Step 6: Final answer
    x = 4,940.32

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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.