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Finding the Fourth Proportional to 4,447.94, 6,671.69 and 1,327.97

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Solution

The fourth proportional to 4,447.94, 6,671.69 and 1,327.97 is: 1,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.94 : 6,671.69 = 1,327.97 : x
  2. Step 2: Convert to fraction form
    4,447.94/6,671.69 = 1,327.97/x
  3. Step 3: Cross multiply
    4,447.94x = 6,671.69 × 1,327.97
  4. Step 4: Simplify right side
    4,447.94x = 8,859,814.21
  5. Step 5: Solve for x
    x = 8,859,814.21/4,447.94
  6. Step 6: Final answer
    x = 1,991.89

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