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Finding the Fourth Proportional to 3,446.44, 4,757.15 and 2,563.44

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Solution

The fourth proportional to 3,446.44, 4,757.15 and 2,563.44 is: 3,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.44 : 4,757.15 = 2,563.44 : x
  2. Step 2: Convert to fraction form
    3,446.44/4,757.15 = 2,563.44/x
  3. Step 3: Cross multiply
    3,446.44x = 4,757.15 × 2,563.44
  4. Step 4: Simplify right side
    3,446.44x = 12,194,675.00
  5. Step 5: Solve for x
    x = 12,194,675.00/3,446.44
  6. Step 6: Final answer
    x = 3,538.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.