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Finding the Fourth Proportional to 3,963.96, 5,468.22 and 3,682.53

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Solution

The fourth proportional to 3,963.96, 5,468.22 and 3,682.53 is: 5,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.96 : 5,468.22 = 3,682.53 : x
  2. Step 2: Convert to fraction form
    3,963.96/5,468.22 = 3,682.53/x
  3. Step 3: Cross multiply
    3,963.96x = 5,468.22 × 3,682.53
  4. Step 4: Simplify right side
    3,963.96x = 20,136,884.20
  5. Step 5: Solve for x
    x = 20,136,884.20/3,963.96
  6. Step 6: Final answer
    x = 5,079.99

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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.