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Finding the Fourth Proportional to 3,694.76, 5,534.84 and 2,771.36

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Solution

The fourth proportional to 3,694.76, 5,534.84 and 2,771.36 is: 4,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.76 : 5,534.84 = 2,771.36 : x
  2. Step 2: Convert to fraction form
    3,694.76/5,534.84 = 2,771.36/x
  3. Step 3: Cross multiply
    3,694.76x = 5,534.84 × 2,771.36
  4. Step 4: Simplify right side
    3,694.76x = 15,339,013.44
  5. Step 5: Solve for x
    x = 15,339,013.44/3,694.76
  6. Step 6: Final answer
    x = 4,151.56

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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.