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Finding the Fourth Proportional to 6,434.91, 8,882.73 and 4,198.71

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Solution

The fourth proportional to 6,434.91, 8,882.73 and 4,198.71 is: 5,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.91 : 8,882.73 = 4,198.71 : x
  2. Step 2: Convert to fraction form
    6,434.91/8,882.73 = 4,198.71/x
  3. Step 3: Cross multiply
    6,434.91x = 8,882.73 × 4,198.71
  4. Step 4: Simplify right side
    6,434.91x = 37,296,007.28
  5. Step 5: Solve for x
    x = 37,296,007.28/6,434.91
  6. Step 6: Final answer
    x = 5,795.89

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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.