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Finding the Fourth Proportional to 4,914.56, 6,781.56 and 2,789.84

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Solution

The fourth proportional to 4,914.56, 6,781.56 and 2,789.84 is: 3,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.56 : 6,781.56 = 2,789.84 : x
  2. Step 2: Convert to fraction form
    4,914.56/6,781.56 = 2,789.84/x
  3. Step 3: Cross multiply
    4,914.56x = 6,781.56 × 2,789.84
  4. Step 4: Simplify right side
    4,914.56x = 18,919,467.35
  5. Step 5: Solve for x
    x = 18,919,467.35/4,914.56
  6. Step 6: Final answer
    x = 3,849.68

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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.