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Finding the Fourth Proportional to 4,172.84, 6,255.62 and 3,940.78

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Solution

The fourth proportional to 4,172.84, 6,255.62 and 3,940.78 is: 5,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.84 : 6,255.62 = 3,940.78 : x
  2. Step 2: Convert to fraction form
    4,172.84/6,255.62 = 3,940.78/x
  3. Step 3: Cross multiply
    4,172.84x = 6,255.62 × 3,940.78
  4. Step 4: Simplify right side
    4,172.84x = 24,652,022.18
  5. Step 5: Solve for x
    x = 24,652,022.18/4,172.84
  6. Step 6: Final answer
    x = 5,907.73

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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.