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Finding the Fourth Proportional to 5,943.69, 8,203.16 and 3,425.31

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Solution

The fourth proportional to 5,943.69, 8,203.16 and 3,425.31 is: 4,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.69 : 8,203.16 = 3,425.31 : x
  2. Step 2: Convert to fraction form
    5,943.69/8,203.16 = 3,425.31/x
  3. Step 3: Cross multiply
    5,943.69x = 8,203.16 × 3,425.31
  4. Step 4: Simplify right side
    5,943.69x = 28,098,365.98
  5. Step 5: Solve for x
    x = 28,098,365.98/5,943.69
  6. Step 6: Final answer
    x = 4,727.43

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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.