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Finding the Fourth Proportional to 5,449.76, 7,520.64 and 2,965.76

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Solution

The fourth proportional to 5,449.76, 7,520.64 and 2,965.76 is: 4,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.76 : 7,520.64 = 2,965.76 : x
  2. Step 2: Convert to fraction form
    5,449.76/7,520.64 = 2,965.76/x
  3. Step 3: Cross multiply
    5,449.76x = 7,520.64 × 2,965.76
  4. Step 4: Simplify right side
    5,449.76x = 22,304,413.29
  5. Step 5: Solve for x
    x = 22,304,413.29/5,449.76
  6. Step 6: Final answer
    x = 4,092.73

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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.