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Finding the Fourth Proportional to 3,771.64, 5,204.30 and 2,115.32

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Solution

The fourth proportional to 3,771.64, 5,204.30 and 2,115.32 is: 2,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.64 : 5,204.30 = 2,115.32 : x
  2. Step 2: Convert to fraction form
    3,771.64/5,204.30 = 2,115.32/x
  3. Step 3: Cross multiply
    3,771.64x = 5,204.30 × 2,115.32
  4. Step 4: Simplify right side
    3,771.64x = 11,008,759.88
  5. Step 5: Solve for x
    x = 11,008,759.88/3,771.64
  6. Step 6: Final answer
    x = 2,918.83

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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.