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Finding the Fourth Proportional to 5,309.73, 7,968.75 and 3,677.73

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Solution

The fourth proportional to 5,309.73, 7,968.75 and 3,677.73 is: 5,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.73 : 7,968.75 = 3,677.73 : x
  2. Step 2: Convert to fraction form
    5,309.73/7,968.75 = 3,677.73/x
  3. Step 3: Cross multiply
    5,309.73x = 7,968.75 × 3,677.73
  4. Step 4: Simplify right side
    5,309.73x = 29,306,910.94
  5. Step 5: Solve for x
    x = 29,306,910.94/5,309.73
  6. Step 6: Final answer
    x = 5,519.47

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1.5x scale

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.