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Finding the Fourth Proportional to 5,193.98, 7,167.70 and 3,204.54

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Solution

The fourth proportional to 5,193.98, 7,167.70 and 3,204.54 is: 4,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.98 : 7,167.70 = 3,204.54 : x
  2. Step 2: Convert to fraction form
    5,193.98/7,167.70 = 3,204.54/x
  3. Step 3: Cross multiply
    5,193.98x = 7,167.70 × 3,204.54
  4. Step 4: Simplify right side
    5,193.98x = 22,969,173.35
  5. Step 5: Solve for x
    x = 22,969,173.35/5,193.98
  6. Step 6: Final answer
    x = 4,422.27

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1.5x scale

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.