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Finding the Fourth Proportional to 4,734.75, 7,104.96 and 2,763.21

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Solution

The fourth proportional to 4,734.75, 7,104.96 and 2,763.21 is: 4,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.75 : 7,104.96 = 2,763.21 : x
  2. Step 2: Convert to fraction form
    4,734.75/7,104.96 = 2,763.21/x
  3. Step 3: Cross multiply
    4,734.75x = 7,104.96 × 2,763.21
  4. Step 4: Simplify right side
    4,734.75x = 19,632,496.52
  5. Step 5: Solve for x
    x = 19,632,496.52/4,734.75
  6. Step 6: Final answer
    x = 4,146.47

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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.