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Finding the Fourth Proportional to 5,239.78, 7,230.90 and 2,881.96

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Solution

The fourth proportional to 5,239.78, 7,230.90 and 2,881.96 is: 3,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.78 : 7,230.90 = 2,881.96 : x
  2. Step 2: Convert to fraction form
    5,239.78/7,230.90 = 2,881.96/x
  3. Step 3: Cross multiply
    5,239.78x = 7,230.90 × 2,881.96
  4. Step 4: Simplify right side
    5,239.78x = 20,839,164.56
  5. Step 5: Solve for x
    x = 20,839,164.56/5,239.78
  6. Step 6: Final answer
    x = 3,977.11

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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.