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Finding the Fourth Proportional to 4,477.87, 6,716.81 and 2,167.75

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Solution

The fourth proportional to 4,477.87, 6,716.81 and 2,167.75 is: 3,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.87 : 6,716.81 = 2,167.75 : x
  2. Step 2: Convert to fraction form
    4,477.87/6,716.81 = 2,167.75/x
  3. Step 3: Cross multiply
    4,477.87x = 6,716.81 × 2,167.75
  4. Step 4: Simplify right side
    4,477.87x = 14,560,364.88
  5. Step 5: Solve for x
    x = 14,560,364.88/4,477.87
  6. Step 6: Final answer
    x = 3,251.63

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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.