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Finding the Fourth Proportional to 5,241.44, 7,852.08 and 2,934.56

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Solution

The fourth proportional to 5,241.44, 7,852.08 and 2,934.56 is: 4,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.44 : 7,852.08 = 2,934.56 : x
  2. Step 2: Convert to fraction form
    5,241.44/7,852.08 = 2,934.56/x
  3. Step 3: Cross multiply
    5,241.44x = 7,852.08 × 2,934.56
  4. Step 4: Simplify right side
    5,241.44x = 23,042,399.88
  5. Step 5: Solve for x
    x = 23,042,399.88/5,241.44
  6. Step 6: Final answer
    x = 4,396.20

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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.