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Finding the Fourth Proportional to 6,096.80, 8,413.57 and 3,444.21

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Solution

The fourth proportional to 6,096.80, 8,413.57 and 3,444.21 is: 4,753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.80 : 8,413.57 = 3,444.21 : x
  2. Step 2: Convert to fraction form
    6,096.80/8,413.57 = 3,444.21/x
  3. Step 3: Cross multiply
    6,096.80x = 8,413.57 × 3,444.21
  4. Step 4: Simplify right side
    6,096.80x = 28,978,121.02
  5. Step 5: Solve for x
    x = 28,978,121.02/6,096.80
  6. Step 6: Final answer
    x = 4,753.00

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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.