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Finding the Fourth Proportional to 3,474.06, 4,794.24 and 2,147.46

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Solution

The fourth proportional to 3,474.06, 4,794.24 and 2,147.46 is: 2,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.06 : 4,794.24 = 2,147.46 : x
  2. Step 2: Convert to fraction form
    3,474.06/4,794.24 = 2,147.46/x
  3. Step 3: Cross multiply
    3,474.06x = 4,794.24 × 2,147.46
  4. Step 4: Simplify right side
    3,474.06x = 10,295,438.63
  5. Step 5: Solve for x
    x = 10,295,438.63/3,474.06
  6. Step 6: Final answer
    x = 2,963.52

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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.