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Finding the Fourth Proportional to 3,793.22, 5,234 and 2,114.25

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Solution

The fourth proportional to 3,793.22, 5,234 and 2,114.25 is: 2,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.22 : 5,234 = 2,114.25 : x
  2. Step 2: Convert to fraction form
    3,793.22/5,234 = 2,114.25/x
  3. Step 3: Cross multiply
    3,793.22x = 5,234 × 2,114.25
  4. Step 4: Simplify right side
    3,793.22x = 11,065,984.50
  5. Step 5: Solve for x
    x = 11,065,984.50/3,793.22
  6. Step 6: Final answer
    x = 2,917.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.