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Finding the Fourth Proportional to 3,968.50, 5,468.98 and 2,906.59

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Solution

The fourth proportional to 3,968.50, 5,468.98 and 2,906.59 is: 4,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.50 : 5,468.98 = 2,906.59 : x
  2. Step 2: Convert to fraction form
    3,968.50/5,468.98 = 2,906.59/x
  3. Step 3: Cross multiply
    3,968.50x = 5,468.98 × 2,906.59
  4. Step 4: Simplify right side
    3,968.50x = 15,896,082.58
  5. Step 5: Solve for x
    x = 15,896,082.58/3,968.50
  6. Step 6: Final answer
    x = 4,005.56

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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.