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Finding the Fourth Proportional to 3,614.49, 5,413.05 and 3,091.50

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Solution

The fourth proportional to 3,614.49, 5,413.05 and 3,091.50 is: 4,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.49 : 5,413.05 = 3,091.50 : x
  2. Step 2: Convert to fraction form
    3,614.49/5,413.05 = 3,091.50/x
  3. Step 3: Cross multiply
    3,614.49x = 5,413.05 × 3,091.50
  4. Step 4: Simplify right side
    3,614.49x = 16,734,444.08
  5. Step 5: Solve for x
    x = 16,734,444.08/3,614.49
  6. Step 6: Final answer
    x = 4,629.82

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Why These Related Problems?

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