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Finding the Fourth Proportional to 3,968.13, 5,468.47 and 2,906.22

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Solution

The fourth proportional to 3,968.13, 5,468.47 and 2,906.22 is: 4,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.13 : 5,468.47 = 2,906.22 : x
  2. Step 2: Convert to fraction form
    3,968.13/5,468.47 = 2,906.22/x
  3. Step 3: Cross multiply
    3,968.13x = 5,468.47 × 2,906.22
  4. Step 4: Simplify right side
    3,968.13x = 15,892,569.62
  5. Step 5: Solve for x
    x = 15,892,569.62/3,968.13
  6. Step 6: Final answer
    x = 4,005.05

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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.