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Finding the Fourth Proportional to 5,704.70, 7,872.39 and 3,186.86

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Solution

The fourth proportional to 5,704.70, 7,872.39 and 3,186.86 is: 4,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.70 : 7,872.39 = 3,186.86 : x
  2. Step 2: Convert to fraction form
    5,704.70/7,872.39 = 3,186.86/x
  3. Step 3: Cross multiply
    5,704.70x = 7,872.39 × 3,186.86
  4. Step 4: Simplify right side
    5,704.70x = 25,088,165.43
  5. Step 5: Solve for x
    x = 25,088,165.43/5,704.70
  6. Step 6: Final answer
    x = 4,397.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.