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Finding the Fourth Proportional to 3,741.94, 5,159.09 and 3,067.26

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Solution

The fourth proportional to 3,741.94, 5,159.09 and 3,067.26 is: 4,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.94 : 5,159.09 = 3,067.26 : x
  2. Step 2: Convert to fraction form
    3,741.94/5,159.09 = 3,067.26/x
  3. Step 3: Cross multiply
    3,741.94x = 5,159.09 × 3,067.26
  4. Step 4: Simplify right side
    3,741.94x = 15,824,270.39
  5. Step 5: Solve for x
    x = 15,824,270.39/3,741.94
  6. Step 6: Final answer
    x = 4,228.89

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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.