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Finding the Fourth Proportional to 5,413.94, 7,469.94 and 3,734.81

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Solution

The fourth proportional to 5,413.94, 7,469.94 and 3,734.81 is: 5,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.94 : 7,469.94 = 3,734.81 : x
  2. Step 2: Convert to fraction form
    5,413.94/7,469.94 = 3,734.81/x
  3. Step 3: Cross multiply
    5,413.94x = 7,469.94 × 3,734.81
  4. Step 4: Simplify right side
    5,413.94x = 27,898,806.61
  5. Step 5: Solve for x
    x = 27,898,806.61/5,413.94
  6. Step 6: Final answer
    x = 5,153.14

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1.5x scale

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.