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Finding the Fourth Proportional to 3,968.14, 5,474.92 and 3,126.23

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Solution

The fourth proportional to 3,968.14, 5,474.92 and 3,126.23 is: 4,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.14 : 5,474.92 = 3,126.23 : x
  2. Step 2: Convert to fraction form
    3,968.14/5,474.92 = 3,126.23/x
  3. Step 3: Cross multiply
    3,968.14x = 5,474.92 × 3,126.23
  4. Step 4: Simplify right side
    3,968.14x = 17,115,843.39
  5. Step 5: Solve for x
    x = 17,115,843.39/3,968.14
  6. Step 6: Final answer
    x = 4,313.32

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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.