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Finding the Fourth Proportional to 3,757.56, 5,186.25 and 2,185.86

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Solution

The fourth proportional to 3,757.56, 5,186.25 and 2,185.86 is: 3,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.56 : 5,186.25 = 2,185.86 : x
  2. Step 2: Convert to fraction form
    3,757.56/5,186.25 = 2,185.86/x
  3. Step 3: Cross multiply
    3,757.56x = 5,186.25 × 2,185.86
  4. Step 4: Simplify right side
    3,757.56x = 11,336,416.43
  5. Step 5: Solve for x
    x = 11,336,416.43/3,757.56
  6. Step 6: Final answer
    x = 3,016.96

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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.