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Finding the Fourth Proportional to 3,940.59, 5,437.91 and 2,172.20

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Solution

The fourth proportional to 3,940.59, 5,437.91 and 2,172.20 is: 2,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.59 : 5,437.91 = 2,172.20 : x
  2. Step 2: Convert to fraction form
    3,940.59/5,437.91 = 2,172.20/x
  3. Step 3: Cross multiply
    3,940.59x = 5,437.91 × 2,172.20
  4. Step 4: Simplify right side
    3,940.59x = 11,812,190.05
  5. Step 5: Solve for x
    x = 11,812,190.05/3,940.59
  6. Step 6: Final answer
    x = 2,997.57

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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.