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Finding the Fourth Proportional to 3,910.64, 5,396.72 and 2,142.42

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Solution

The fourth proportional to 3,910.64, 5,396.72 and 2,142.42 is: 2,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.64 : 5,396.72 = 2,142.42 : x
  2. Step 2: Convert to fraction form
    3,910.64/5,396.72 = 2,142.42/x
  3. Step 3: Cross multiply
    3,910.64x = 5,396.72 × 2,142.42
  4. Step 4: Simplify right side
    3,910.64x = 11,562,040.86
  5. Step 5: Solve for x
    x = 11,562,040.86/3,910.64
  6. Step 6: Final answer
    x = 2,956.56

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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.