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Finding the Fourth Proportional to 4,447.81, 6,672.80 and 1,327.69

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Solution

The fourth proportional to 4,447.81, 6,672.80 and 1,327.69 is: 1,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.81 : 6,672.80 = 1,327.69 : x
  2. Step 2: Convert to fraction form
    4,447.81/6,672.80 = 1,327.69/x
  3. Step 3: Cross multiply
    4,447.81x = 6,672.80 × 1,327.69
  4. Step 4: Simplify right side
    4,447.81x = 8,859,409.83
  5. Step 5: Solve for x
    x = 8,859,409.83/4,447.81
  6. Step 6: Final answer
    x = 1,991.86

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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.