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Finding the Fourth Proportional to 3,967.50, 5,472.87 and 2,474.70

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Solution

The fourth proportional to 3,967.50, 5,472.87 and 2,474.70 is: 3,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.50 : 5,472.87 = 2,474.70 : x
  2. Step 2: Convert to fraction form
    3,967.50/5,472.87 = 2,474.70/x
  3. Step 3: Cross multiply
    3,967.50x = 5,472.87 × 2,474.70
  4. Step 4: Simplify right side
    3,967.50x = 13,543,711.39
  5. Step 5: Solve for x
    x = 13,543,711.39/3,967.50
  6. Step 6: Final answer
    x = 3,413.66

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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.