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Finding the Fourth Proportional to 5,864, 8,096 and 3,771.76

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Solution

The fourth proportional to 5,864, 8,096 and 3,771.76 is: 5,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864 : 8,096 = 3,771.76 : x
  2. Step 2: Convert to fraction form
    5,864/8,096 = 3,771.76/x
  3. Step 3: Cross multiply
    5,864x = 8,096 × 3,771.76
  4. Step 4: Simplify right side
    5,864x = 30,536,168.96
  5. Step 5: Solve for x
    x = 30,536,168.96/5,864
  6. Step 6: Final answer
    x = 5,207.40

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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.