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Finding the Fourth Proportional to 4,142.24, 5,713.44 and 3,965.12

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Solution

The fourth proportional to 4,142.24, 5,713.44 and 3,965.12 is: 5,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.24 : 5,713.44 = 3,965.12 : x
  2. Step 2: Convert to fraction form
    4,142.24/5,713.44 = 3,965.12/x
  3. Step 3: Cross multiply
    4,142.24x = 5,713.44 × 3,965.12
  4. Step 4: Simplify right side
    4,142.24x = 22,654,475.21
  5. Step 5: Solve for x
    x = 22,654,475.21/4,142.24
  6. Step 6: Final answer
    x = 5,469.14

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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.