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Finding the Fourth Proportional to 3,759, 5,186.97 and 2,165.32

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Solution

The fourth proportional to 3,759, 5,186.97 and 2,165.32 is: 2,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759 : 5,186.97 = 2,165.32 : x
  2. Step 2: Convert to fraction form
    3,759/5,186.97 = 2,165.32/x
  3. Step 3: Cross multiply
    3,759x = 5,186.97 × 2,165.32
  4. Step 4: Simplify right side
    3,759x = 11,231,449.88
  5. Step 5: Solve for x
    x = 11,231,449.88/3,759
  6. Step 6: Final answer
    x = 2,987.88

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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.