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Finding the Fourth Proportional to 5,701.73, 7,868.70 and 3,183.86

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Solution

The fourth proportional to 5,701.73, 7,868.70 and 3,183.86 is: 4,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.73 : 7,868.70 = 3,183.86 : x
  2. Step 2: Convert to fraction form
    5,701.73/7,868.70 = 3,183.86/x
  3. Step 3: Cross multiply
    5,701.73x = 7,868.70 × 3,183.86
  4. Step 4: Simplify right side
    5,701.73x = 25,052,839.18
  5. Step 5: Solve for x
    x = 25,052,839.18/5,701.73
  6. Step 6: Final answer
    x = 4,393.90

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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.