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Finding the Fourth Proportional to 3,494.94, 5,249.61 and 3,378.30

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Solution

The fourth proportional to 3,494.94, 5,249.61 and 3,378.30 is: 5,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.94 : 5,249.61 = 3,378.30 : x
  2. Step 2: Convert to fraction form
    3,494.94/5,249.61 = 3,378.30/x
  3. Step 3: Cross multiply
    3,494.94x = 5,249.61 × 3,378.30
  4. Step 4: Simplify right side
    3,494.94x = 17,734,757.46
  5. Step 5: Solve for x
    x = 17,734,757.46/3,494.94
  6. Step 6: Final answer
    x = 5,074.41

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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.