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Finding the Fourth Proportional to 6,098.29, 8,413.16 and 3,708.32

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Solution

The fourth proportional to 6,098.29, 8,413.16 and 3,708.32 is: 5,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.29 : 8,413.16 = 3,708.32 : x
  2. Step 2: Convert to fraction form
    6,098.29/8,413.16 = 3,708.32/x
  3. Step 3: Cross multiply
    6,098.29x = 8,413.16 × 3,708.32
  4. Step 4: Simplify right side
    6,098.29x = 31,198,628.88
  5. Step 5: Solve for x
    x = 31,198,628.88/6,098.29
  6. Step 6: Final answer
    x = 5,115.97

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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.