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Finding the Fourth Proportional to 3,755.56, 5,634.26 and 1,290.41

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Solution

The fourth proportional to 3,755.56, 5,634.26 and 1,290.41 is: 1,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.56 : 5,634.26 = 1,290.41 : x
  2. Step 2: Convert to fraction form
    3,755.56/5,634.26 = 1,290.41/x
  3. Step 3: Cross multiply
    3,755.56x = 5,634.26 × 1,290.41
  4. Step 4: Simplify right side
    3,755.56x = 7,270,516.31
  5. Step 5: Solve for x
    x = 7,270,516.31/3,755.56
  6. Step 6: Final answer
    x = 1,935.94

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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.