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Finding the Fourth Proportional to 3,759.22, 5,186.01 and 2,186.47

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Solution

The fourth proportional to 3,759.22, 5,186.01 and 2,186.47 is: 3,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.22 : 5,186.01 = 2,186.47 : x
  2. Step 2: Convert to fraction form
    3,759.22/5,186.01 = 2,186.47/x
  3. Step 3: Cross multiply
    3,759.22x = 5,186.01 × 2,186.47
  4. Step 4: Simplify right side
    3,759.22x = 11,339,055.28
  5. Step 5: Solve for x
    x = 11,339,055.28/3,759.22
  6. Step 6: Final answer
    x = 3,016.33

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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.