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Finding the Fourth Proportional to 3,400.57, 5,089.91 and 1,754.85

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Solution

The fourth proportional to 3,400.57, 5,089.91 and 1,754.85 is: 2,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.57 : 5,089.91 = 1,754.85 : x
  2. Step 2: Convert to fraction form
    3,400.57/5,089.91 = 1,754.85/x
  3. Step 3: Cross multiply
    3,400.57x = 5,089.91 × 1,754.85
  4. Step 4: Simplify right side
    3,400.57x = 8,932,028.56
  5. Step 5: Solve for x
    x = 8,932,028.56/3,400.57
  6. Step 6: Final answer
    x = 2,626.63

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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.