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Finding the Fourth Proportional to 3,797.82, 5,243.81 and 2,472.26

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Solution

The fourth proportional to 3,797.82, 5,243.81 and 2,472.26 is: 3,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.82 : 5,243.81 = 2,472.26 : x
  2. Step 2: Convert to fraction form
    3,797.82/5,243.81 = 2,472.26/x
  3. Step 3: Cross multiply
    3,797.82x = 5,243.81 × 2,472.26
  4. Step 4: Simplify right side
    3,797.82x = 12,964,023.13
  5. Step 5: Solve for x
    x = 12,964,023.13/3,797.82
  6. Step 6: Final answer
    x = 3,413.54

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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.