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Finding the Fourth Proportional to 4,694.50, 6,478.41 and 2,832.58

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Solution

The fourth proportional to 4,694.50, 6,478.41 and 2,832.58 is: 3,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.50 : 6,478.41 = 2,832.58 : x
  2. Step 2: Convert to fraction form
    4,694.50/6,478.41 = 2,832.58/x
  3. Step 3: Cross multiply
    4,694.50x = 6,478.41 × 2,832.58
  4. Step 4: Simplify right side
    4,694.50x = 18,350,614.60
  5. Step 5: Solve for x
    x = 18,350,614.60/4,694.50
  6. Step 6: Final answer
    x = 3,908.96

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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.