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Finding the Fourth Proportional to 3,968.41, 5,463.93 and 3,369.64

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Solution

The fourth proportional to 3,968.41, 5,463.93 and 3,369.64 is: 4,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.41 : 5,463.93 = 3,369.64 : x
  2. Step 2: Convert to fraction form
    3,968.41/5,463.93 = 3,369.64/x
  3. Step 3: Cross multiply
    3,968.41x = 5,463.93 × 3,369.64
  4. Step 4: Simplify right side
    3,968.41x = 18,411,469.15
  5. Step 5: Solve for x
    x = 18,411,469.15/3,968.41
  6. Step 6: Final answer
    x = 4,639.51

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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.