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Finding the Fourth Proportional to 5,704.53, 7,872.17 and 3,186.67

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Solution

The fourth proportional to 5,704.53, 7,872.17 and 3,186.67 is: 4,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.53 : 7,872.17 = 3,186.67 : x
  2. Step 2: Convert to fraction form
    5,704.53/7,872.17 = 3,186.67/x
  3. Step 3: Cross multiply
    5,704.53x = 7,872.17 × 3,186.67
  4. Step 4: Simplify right side
    5,704.53x = 25,086,007.97
  5. Step 5: Solve for x
    x = 25,086,007.97/5,704.53
  6. Step 6: Final answer
    x = 4,397.56

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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.