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Finding the Fourth Proportional to 4,843.67, 6,682.79 and 2,853.50

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Solution

The fourth proportional to 4,843.67, 6,682.79 and 2,853.50 is: 3,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.67 : 6,682.79 = 2,853.50 : x
  2. Step 2: Convert to fraction form
    4,843.67/6,682.79 = 2,853.50/x
  3. Step 3: Cross multiply
    4,843.67x = 6,682.79 × 2,853.50
  4. Step 4: Simplify right side
    4,843.67x = 19,069,293.58
  5. Step 5: Solve for x
    x = 19,069,293.58/4,843.67
  6. Step 6: Final answer
    x = 3,936.96

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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.