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Finding the Fourth Proportional to 5,027.84, 6,938.24 and 2,789.82

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Solution

The fourth proportional to 5,027.84, 6,938.24 and 2,789.82 is: 3,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.84 : 6,938.24 = 2,789.82 : x
  2. Step 2: Convert to fraction form
    5,027.84/6,938.24 = 2,789.82/x
  3. Step 3: Cross multiply
    5,027.84x = 6,938.24 × 2,789.82
  4. Step 4: Simplify right side
    5,027.84x = 19,356,440.72
  5. Step 5: Solve for x
    x = 19,356,440.72/5,027.84
  6. Step 6: Final answer
    x = 3,849.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.