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Finding the Fourth Proportional to 5,027.56, 6,938 and 2,789.44

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Solution

The fourth proportional to 5,027.56, 6,938 and 2,789.44 is: 3,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.56 : 6,938 = 2,789.44 : x
  2. Step 2: Convert to fraction form
    5,027.56/6,938 = 2,789.44/x
  3. Step 3: Cross multiply
    5,027.56x = 6,938 × 2,789.44
  4. Step 4: Simplify right side
    5,027.56x = 19,353,134.72
  5. Step 5: Solve for x
    x = 19,353,134.72/5,027.56
  6. Step 6: Final answer
    x = 3,849.41

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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.