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Finding the Fourth Proportional to 3,474.90, 4,793.68 and 2,148.12

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Solution

The fourth proportional to 3,474.90, 4,793.68 and 2,148.12 is: 2,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.90 : 4,793.68 = 2,148.12 : x
  2. Step 2: Convert to fraction form
    3,474.90/4,793.68 = 2,148.12/x
  3. Step 3: Cross multiply
    3,474.90x = 4,793.68 × 2,148.12
  4. Step 4: Simplify right side
    3,474.90x = 10,297,399.88
  5. Step 5: Solve for x
    x = 10,297,399.88/3,474.90
  6. Step 6: Final answer
    x = 2,963.37

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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.