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Finding the Fourth Proportional to 5,836.56, 7,996 and 5,614.64

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Solution

The fourth proportional to 5,836.56, 7,996 and 5,614.64 is: 7,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.56 : 7,996 = 5,614.64 : x
  2. Step 2: Convert to fraction form
    5,836.56/7,996 = 5,614.64/x
  3. Step 3: Cross multiply
    5,836.56x = 7,996 × 5,614.64
  4. Step 4: Simplify right side
    5,836.56x = 44,894,661.44
  5. Step 5: Solve for x
    x = 44,894,661.44/5,836.56
  6. Step 6: Final answer
    x = 7,691.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.