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Finding the Fourth Proportional to 3,609.20, 5,413.80 and 873.20

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Solution

The fourth proportional to 3,609.20, 5,413.80 and 873.20 is: 1,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.20 : 5,413.80 = 873.20 : x
  2. Step 2: Convert to fraction form
    3,609.20/5,413.80 = 873.20/x
  3. Step 3: Cross multiply
    3,609.20x = 5,413.80 × 873.20
  4. Step 4: Simplify right side
    3,609.20x = 4,727,303.09
  5. Step 5: Solve for x
    x = 4,727,303.09/3,609.20
  6. Step 6: Final answer
    x = 1,309.79

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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.