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Finding the Fourth Proportional to 4,530, 6,797.88 and 1,794

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Solution

The fourth proportional to 4,530, 6,797.88 and 1,794 is: 2,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530 : 6,797.88 = 1,794 : x
  2. Step 2: Convert to fraction form
    4,530/6,797.88 = 1,794/x
  3. Step 3: Cross multiply
    4,530x = 6,797.88 × 1,794
  4. Step 4: Simplify right side
    4,530x = 12,195,396.72
  5. Step 5: Solve for x
    x = 12,195,396.72/4,530
  6. Step 6: Final answer
    x = 2,692.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.