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Finding the Fourth Proportional to 6,241.41, 8,614.94 and 3,691.53

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Solution

The fourth proportional to 6,241.41, 8,614.94 and 3,691.53 is: 5,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.41 : 8,614.94 = 3,691.53 : x
  2. Step 2: Convert to fraction form
    6,241.41/8,614.94 = 3,691.53/x
  3. Step 3: Cross multiply
    6,241.41x = 8,614.94 × 3,691.53
  4. Step 4: Simplify right side
    6,241.41x = 31,802,309.46
  5. Step 5: Solve for x
    x = 31,802,309.46/6,241.41
  6. Step 6: Final answer
    x = 5,095.37

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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.