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Finding the Fourth Proportional to 6,794.85, 10,175.82 and 3,454.32

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Solution

The fourth proportional to 6,794.85, 10,175.82 and 3,454.32 is: 5,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.85 : 10,175.82 = 3,454.32 : x
  2. Step 2: Convert to fraction form
    6,794.85/10,175.82 = 3,454.32/x
  3. Step 3: Cross multiply
    6,794.85x = 10,175.82 × 3,454.32
  4. Step 4: Simplify right side
    6,794.85x = 35,150,538.54
  5. Step 5: Solve for x
    x = 35,150,538.54/6,794.85
  6. Step 6: Final answer
    x = 5,173.11

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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.