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Finding the Fourth Proportional to 5,917.64, 8,165.04 and 3,399.56

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Solution

The fourth proportional to 5,917.64, 8,165.04 and 3,399.56 is: 4,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.64 : 8,165.04 = 3,399.56 : x
  2. Step 2: Convert to fraction form
    5,917.64/8,165.04 = 3,399.56/x
  3. Step 3: Cross multiply
    5,917.64x = 8,165.04 × 3,399.56
  4. Step 4: Simplify right side
    5,917.64x = 27,757,543.38
  5. Step 5: Solve for x
    x = 27,757,543.38/5,917.64
  6. Step 6: Final answer
    x = 4,690.64

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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.