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Finding the Fourth Proportional to 3,794.64, 5,691.92 and 2,331.15

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Solution

The fourth proportional to 3,794.64, 5,691.92 and 2,331.15 is: 3,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.64 : 5,691.92 = 2,331.15 : x
  2. Step 2: Convert to fraction form
    3,794.64/5,691.92 = 2,331.15/x
  3. Step 3: Cross multiply
    3,794.64x = 5,691.92 × 2,331.15
  4. Step 4: Simplify right side
    3,794.64x = 13,268,707.65
  5. Step 5: Solve for x
    x = 13,268,707.65/3,794.64
  6. Step 6: Final answer
    x = 3,496.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.