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Finding the Fourth Proportional to 4,757.44, 7,135.17 and 2,781.76

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Solution

The fourth proportional to 4,757.44, 7,135.17 and 2,781.76 is: 4,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.44 : 7,135.17 = 2,781.76 : x
  2. Step 2: Convert to fraction form
    4,757.44/7,135.17 = 2,781.76/x
  3. Step 3: Cross multiply
    4,757.44x = 7,135.17 × 2,781.76
  4. Step 4: Simplify right side
    4,757.44x = 19,848,330.50
  5. Step 5: Solve for x
    x = 19,848,330.50/4,757.44
  6. Step 6: Final answer
    x = 4,172.06

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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.