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Finding the Fourth Proportional to 5,027.84, 6,938.16 and 2,789.84

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Solution

The fourth proportional to 5,027.84, 6,938.16 and 2,789.84 is: 3,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.84 : 6,938.16 = 2,789.84 : x
  2. Step 2: Convert to fraction form
    5,027.84/6,938.16 = 2,789.84/x
  3. Step 3: Cross multiply
    5,027.84x = 6,938.16 × 2,789.84
  4. Step 4: Simplify right side
    5,027.84x = 19,356,356.29
  5. Step 5: Solve for x
    x = 19,356,356.29/5,027.84
  6. Step 6: Final answer
    x = 3,849.84

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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.