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Finding the Fourth Proportional to 3,968.42, 5,476.29 and 2,396.24

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Solution

The fourth proportional to 3,968.42, 5,476.29 and 2,396.24 is: 3,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.42 : 5,476.29 = 2,396.24 : x
  2. Step 2: Convert to fraction form
    3,968.42/5,476.29 = 2,396.24/x
  3. Step 3: Cross multiply
    3,968.42x = 5,476.29 × 2,396.24
  4. Step 4: Simplify right side
    3,968.42x = 13,122,505.15
  5. Step 5: Solve for x
    x = 13,122,505.15/3,968.42
  6. Step 6: Final answer
    x = 3,306.73

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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.