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Finding the Fourth Proportional to 4,842.26, 6,682.78 and 2,853.44

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Solution

The fourth proportional to 4,842.26, 6,682.78 and 2,853.44 is: 3,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.26 : 6,682.78 = 2,853.44 : x
  2. Step 2: Convert to fraction form
    4,842.26/6,682.78 = 2,853.44/x
  3. Step 3: Cross multiply
    4,842.26x = 6,682.78 × 2,853.44
  4. Step 4: Simplify right side
    4,842.26x = 19,068,911.76
  5. Step 5: Solve for x
    x = 19,068,911.76/4,842.26
  6. Step 6: Final answer
    x = 3,938.02

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Why These Related Problems?

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