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Finding the Fourth Proportional to 3,624.74, 5,413.81 and 3,069.80

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Solution

The fourth proportional to 3,624.74, 5,413.81 and 3,069.80 is: 4,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.74 : 5,413.81 = 3,069.80 : x
  2. Step 2: Convert to fraction form
    3,624.74/5,413.81 = 3,069.80/x
  3. Step 3: Cross multiply
    3,624.74x = 5,413.81 × 3,069.80
  4. Step 4: Simplify right side
    3,624.74x = 16,619,313.94
  5. Step 5: Solve for x
    x = 16,619,313.94/3,624.74
  6. Step 6: Final answer
    x = 4,584.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.