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Finding the Fourth Proportional to 5,661,733.79, 7,813,413.81 and 3,214,572.60

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Solution

The fourth proportional to 5,661,733.79, 7,813,413.81 and 3,214,572.60 is: 4,436,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661,733.79 : 7,813,413.81 = 3,214,572.60 : x
  2. Step 2: Convert to fraction form
    5,661,733.79/7,813,413.81 = 3,214,572.60/x
  3. Step 3: Cross multiply
    5,661,733.79x = 7,813,413.81 × 3,214,572.60
  4. Step 4: Simplify right side
    5,661,733.79x = 25,116,785,907,020.54
  5. Step 5: Solve for x
    x = 25,116,785,907,020.54/5,661,733.79
  6. Step 6: Final answer
    x = 4,436,235.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.