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Finding the Fourth Proportional to 5,413.36, 7,463 and 3,422.92

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Solution

The fourth proportional to 5,413.36, 7,463 and 3,422.92 is: 4,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.36 : 7,463 = 3,422.92 : x
  2. Step 2: Convert to fraction form
    5,413.36/7,463 = 3,422.92/x
  3. Step 3: Cross multiply
    5,413.36x = 7,463 × 3,422.92
  4. Step 4: Simplify right side
    5,413.36x = 25,545,251.96
  5. Step 5: Solve for x
    x = 25,545,251.96/5,413.36
  6. Step 6: Final answer
    x = 4,718.93

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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.