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Finding the Fourth Proportional to 5,172.53, 7,755.95 and 2,049.37

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Solution

The fourth proportional to 5,172.53, 7,755.95 and 2,049.37 is: 3,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.53 : 7,755.95 = 2,049.37 : x
  2. Step 2: Convert to fraction form
    5,172.53/7,755.95 = 2,049.37/x
  3. Step 3: Cross multiply
    5,172.53x = 7,755.95 × 2,049.37
  4. Step 4: Simplify right side
    5,172.53x = 15,894,796.99
  5. Step 5: Solve for x
    x = 15,894,796.99/5,172.53
  6. Step 6: Final answer
    x = 3,072.93

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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.