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Finding the Fourth Proportional to 5,172.07, 7,755.41 and 2,538.42

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Solution

The fourth proportional to 5,172.07, 7,755.41 and 2,538.42 is: 3,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.07 : 7,755.41 = 2,538.42 : x
  2. Step 2: Convert to fraction form
    5,172.07/7,755.41 = 2,538.42/x
  3. Step 3: Cross multiply
    5,172.07x = 7,755.41 × 2,538.42
  4. Step 4: Simplify right side
    5,172.07x = 19,686,487.85
  5. Step 5: Solve for x
    x = 19,686,487.85/5,172.07
  6. Step 6: Final answer
    x = 3,806.31

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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.