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Finding the Fourth Proportional to 4,796.44, 7,194.66 and 2,743

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Solution

The fourth proportional to 4,796.44, 7,194.66 and 2,743 is: 4,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.44 : 7,194.66 = 2,743 : x
  2. Step 2: Convert to fraction form
    4,796.44/7,194.66 = 2,743/x
  3. Step 3: Cross multiply
    4,796.44x = 7,194.66 × 2,743
  4. Step 4: Simplify right side
    4,796.44x = 19,734,952.38
  5. Step 5: Solve for x
    x = 19,734,952.38/4,796.44
  6. Step 6: Final answer
    x = 4,114.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.