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Finding the Fourth Proportional to 4,098.56, 6,153.02 and 3,413.61

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Solution

The fourth proportional to 4,098.56, 6,153.02 and 3,413.61 is: 5,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.56 : 6,153.02 = 3,413.61 : x
  2. Step 2: Convert to fraction form
    4,098.56/6,153.02 = 3,413.61/x
  3. Step 3: Cross multiply
    4,098.56x = 6,153.02 × 3,413.61
  4. Step 4: Simplify right side
    4,098.56x = 21,003,993.53
  5. Step 5: Solve for x
    x = 21,003,993.53/4,098.56
  6. Step 6: Final answer
    x = 5,124.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.