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Finding the Fourth Proportional to 4,842.44, 6,682.82 and 3,661.48

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Solution

The fourth proportional to 4,842.44, 6,682.82 and 3,661.48 is: 5,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.44 : 6,682.82 = 3,661.48 : x
  2. Step 2: Convert to fraction form
    4,842.44/6,682.82 = 3,661.48/x
  3. Step 3: Cross multiply
    4,842.44x = 6,682.82 × 3,661.48
  4. Step 4: Simplify right side
    4,842.44x = 24,469,011.77
  5. Step 5: Solve for x
    x = 24,469,011.77/4,842.44
  6. Step 6: Final answer
    x = 5,053.03

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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.