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Finding the Fourth Proportional to 4,115.42, 5,674.78 and 2,786.82

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Solution

The fourth proportional to 4,115.42, 5,674.78 and 2,786.82 is: 3,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.42 : 5,674.78 = 2,786.82 : x
  2. Step 2: Convert to fraction form
    4,115.42/5,674.78 = 2,786.82/x
  3. Step 3: Cross multiply
    4,115.42x = 5,674.78 × 2,786.82
  4. Step 4: Simplify right side
    4,115.42x = 15,814,583.43
  5. Step 5: Solve for x
    x = 15,814,583.43/4,115.42
  6. Step 6: Final answer
    x = 3,842.76

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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.