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Finding the Fourth Proportional to 3,836.05, 5,754.92 and 2,277.47

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Solution

The fourth proportional to 3,836.05, 5,754.92 and 2,277.47 is: 3,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.05 : 5,754.92 = 2,277.47 : x
  2. Step 2: Convert to fraction form
    3,836.05/5,754.92 = 2,277.47/x
  3. Step 3: Cross multiply
    3,836.05x = 5,754.92 × 2,277.47
  4. Step 4: Simplify right side
    3,836.05x = 13,106,660.65
  5. Step 5: Solve for x
    x = 13,106,660.65/3,836.05
  6. Step 6: Final answer
    x = 3,416.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.