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Finding the Fourth Proportional to 3,791.64, 5,231.34 and 3,666.36

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Solution

The fourth proportional to 3,791.64, 5,231.34 and 3,666.36 is: 5,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.64 : 5,231.34 = 3,666.36 : x
  2. Step 2: Convert to fraction form
    3,791.64/5,231.34 = 3,666.36/x
  3. Step 3: Cross multiply
    3,791.64x = 5,231.34 × 3,666.36
  4. Step 4: Simplify right side
    3,791.64x = 19,179,975.72
  5. Step 5: Solve for x
    x = 19,179,975.72/3,791.64
  6. Step 6: Final answer
    x = 5,058.49

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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.