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Finding the Fourth Proportional to 3,891.11, 5,342.57 and 3,789.63

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Solution

The fourth proportional to 3,891.11, 5,342.57 and 3,789.63 is: 5,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.11 : 5,342.57 = 3,789.63 : x
  2. Step 2: Convert to fraction form
    3,891.11/5,342.57 = 3,789.63/x
  3. Step 3: Cross multiply
    3,891.11x = 5,342.57 × 3,789.63
  4. Step 4: Simplify right side
    3,891.11x = 20,246,373.02
  5. Step 5: Solve for x
    x = 20,246,373.02/3,891.11
  6. Step 6: Final answer
    x = 5,203.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.