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Finding the Fourth Proportional to 6,096.69, 8,413.40 and 3,444.10

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Solution

The fourth proportional to 6,096.69, 8,413.40 and 3,444.10 is: 4,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.69 : 8,413.40 = 3,444.10 : x
  2. Step 2: Convert to fraction form
    6,096.69/8,413.40 = 3,444.10/x
  3. Step 3: Cross multiply
    6,096.69x = 8,413.40 × 3,444.10
  4. Step 4: Simplify right side
    6,096.69x = 28,976,552.69
  5. Step 5: Solve for x
    x = 28,976,552.69/6,096.69
  6. Step 6: Final answer
    x = 4,752.83

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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.