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Finding the Fourth Proportional to 6,284.46, 8,672.66 and 3,413.19

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Solution

The fourth proportional to 6,284.46, 8,672.66 and 3,413.19 is: 4,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.46 : 8,672.66 = 3,413.19 : x
  2. Step 2: Convert to fraction form
    6,284.46/8,672.66 = 3,413.19/x
  3. Step 3: Cross multiply
    6,284.46x = 8,672.66 × 3,413.19
  4. Step 4: Simplify right side
    6,284.46x = 29,601,375.96
  5. Step 5: Solve for x
    x = 29,601,375.96/6,284.46
  6. Step 6: Final answer
    x = 4,710.25

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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.