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Finding the Fourth Proportional to 4,845.72, 7,270.74 and 1,767

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Solution

The fourth proportional to 4,845.72, 7,270.74 and 1,767 is: 2,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.72 : 7,270.74 = 1,767 : x
  2. Step 2: Convert to fraction form
    4,845.72/7,270.74 = 1,767/x
  3. Step 3: Cross multiply
    4,845.72x = 7,270.74 × 1,767
  4. Step 4: Simplify right side
    4,845.72x = 12,847,397.58
  5. Step 5: Solve for x
    x = 12,847,397.58/4,845.72
  6. Step 6: Final answer
    x = 2,651.29

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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.