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Finding the Fourth Proportional to 4,858.87, 6,704.64 and 2,734.14

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Solution

The fourth proportional to 4,858.87, 6,704.64 and 2,734.14 is: 3,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.87 : 6,704.64 = 2,734.14 : x
  2. Step 2: Convert to fraction form
    4,858.87/6,704.64 = 2,734.14/x
  3. Step 3: Cross multiply
    4,858.87x = 6,704.64 × 2,734.14
  4. Step 4: Simplify right side
    4,858.87x = 18,331,424.41
  5. Step 5: Solve for x
    x = 18,331,424.41/4,858.87
  6. Step 6: Final answer
    x = 3,772.78

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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.