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Finding the Fourth Proportional to 6,446.42, 8,897.82 and 3,794.69

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Solution

The fourth proportional to 6,446.42, 8,897.82 and 3,794.69 is: 5,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.42 : 8,897.82 = 3,794.69 : x
  2. Step 2: Convert to fraction form
    6,446.42/8,897.82 = 3,794.69/x
  3. Step 3: Cross multiply
    6,446.42x = 8,897.82 × 3,794.69
  4. Step 4: Simplify right side
    6,446.42x = 33,764,468.58
  5. Step 5: Solve for x
    x = 33,764,468.58/6,446.42
  6. Step 6: Final answer
    x = 5,237.71

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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.