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Finding the Fourth Proportional to 5,446.20, 8,107.71 and 5,413.80

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Solution

The fourth proportional to 5,446.20, 8,107.71 and 5,413.80 is: 8,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.20 : 8,107.71 = 5,413.80 : x
  2. Step 2: Convert to fraction form
    5,446.20/8,107.71 = 5,413.80/x
  3. Step 3: Cross multiply
    5,446.20x = 8,107.71 × 5,413.80
  4. Step 4: Simplify right side
    5,446.20x = 43,893,520.40
  5. Step 5: Solve for x
    x = 43,893,520.40/5,446.20
  6. Step 6: Final answer
    x = 8,059.48

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Why These Related Problems?

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