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Finding the Fourth Proportional to 3,539.46, 5,309.13 and 942.54

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Solution

The fourth proportional to 3,539.46, 5,309.13 and 942.54 is: 1,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.46 : 5,309.13 = 942.54 : x
  2. Step 2: Convert to fraction form
    3,539.46/5,309.13 = 942.54/x
  3. Step 3: Cross multiply
    3,539.46x = 5,309.13 × 942.54
  4. Step 4: Simplify right side
    3,539.46x = 5,004,067.39
  5. Step 5: Solve for x
    x = 5,004,067.39/3,539.46
  6. Step 6: Final answer
    x = 1,413.79

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1.5x scale

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.