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Finding the Fourth Proportional to 5,647.73, 7,793.42 and 3,289.41

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Solution

The fourth proportional to 5,647.73, 7,793.42 and 3,289.41 is: 4,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.73 : 7,793.42 = 3,289.41 : x
  2. Step 2: Convert to fraction form
    5,647.73/7,793.42 = 3,289.41/x
  3. Step 3: Cross multiply
    5,647.73x = 7,793.42 × 3,289.41
  4. Step 4: Simplify right side
    5,647.73x = 25,635,737.24
  5. Step 5: Solve for x
    x = 25,635,737.24/5,647.73
  6. Step 6: Final answer
    x = 4,539.13

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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.