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Finding the Fourth Proportional to 4,115.64, 5,679.66 and 2,252.64

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Solution

The fourth proportional to 4,115.64, 5,679.66 and 2,252.64 is: 3,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.64 : 5,679.66 = 2,252.64 : x
  2. Step 2: Convert to fraction form
    4,115.64/5,679.66 = 2,252.64/x
  3. Step 3: Cross multiply
    4,115.64x = 5,679.66 × 2,252.64
  4. Step 4: Simplify right side
    4,115.64x = 12,794,229.30
  5. Step 5: Solve for x
    x = 12,794,229.30/4,115.64
  6. Step 6: Final answer
    x = 3,108.69

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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.