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Finding the Fourth Proportional to 3,493.52, 4,822.44 and 2,096

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Solution

The fourth proportional to 3,493.52, 4,822.44 and 2,096 is: 2,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.52 : 4,822.44 = 2,096 : x
  2. Step 2: Convert to fraction form
    3,493.52/4,822.44 = 2,096/x
  3. Step 3: Cross multiply
    3,493.52x = 4,822.44 × 2,096
  4. Step 4: Simplify right side
    3,493.52x = 10,107,834.24
  5. Step 5: Solve for x
    x = 10,107,834.24/3,493.52
  6. Step 6: Final answer
    x = 2,893.31

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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.