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Finding the Fourth Proportional to 4,626.46, 6,940.01 and 1,704.97

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Solution

The fourth proportional to 4,626.46, 6,940.01 and 1,704.97 is: 2,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.46 : 6,940.01 = 1,704.97 : x
  2. Step 2: Convert to fraction form
    4,626.46/6,940.01 = 1,704.97/x
  3. Step 3: Cross multiply
    4,626.46x = 6,940.01 × 1,704.97
  4. Step 4: Simplify right side
    4,626.46x = 11,832,500.32
  5. Step 5: Solve for x
    x = 11,832,500.32/4,626.46
  6. Step 6: Final answer
    x = 2,557.57

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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.