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Finding the Fourth Proportional to 4,882.75, 6,739.41 and 2,788.09

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Solution

The fourth proportional to 4,882.75, 6,739.41 and 2,788.09 is: 3,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.75 : 6,739.41 = 2,788.09 : x
  2. Step 2: Convert to fraction form
    4,882.75/6,739.41 = 2,788.09/x
  3. Step 3: Cross multiply
    4,882.75x = 6,739.41 × 2,788.09
  4. Step 4: Simplify right side
    4,882.75x = 18,790,081.63
  5. Step 5: Solve for x
    x = 18,790,081.63/4,882.75
  6. Step 6: Final answer
    x = 3,848.26

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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.