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Finding the Fourth Proportional to 3,475.27, 4,796.31 and 1,963.12

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Solution

The fourth proportional to 3,475.27, 4,796.31 and 1,963.12 is: 2,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.27 : 4,796.31 = 1,963.12 : x
  2. Step 2: Convert to fraction form
    3,475.27/4,796.31 = 1,963.12/x
  3. Step 3: Cross multiply
    3,475.27x = 4,796.31 × 1,963.12
  4. Step 4: Simplify right side
    3,475.27x = 9,415,732.09
  5. Step 5: Solve for x
    x = 9,415,732.09/3,475.27
  6. Step 6: Final answer
    x = 2,709.35

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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.