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Finding the Fourth Proportional to 5,821.54, 8,035.00 and 3,832.31

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Solution

The fourth proportional to 5,821.54, 8,035.00 and 3,832.31 is: 5,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.54 : 8,035.00 = 3,832.31 : x
  2. Step 2: Convert to fraction form
    5,821.54/8,035.00 = 3,832.31/x
  3. Step 3: Cross multiply
    5,821.54x = 8,035.00 × 3,832.31
  4. Step 4: Simplify right side
    5,821.54x = 30,792,621.36
  5. Step 5: Solve for x
    x = 30,792,621.36/5,821.54
  6. Step 6: Final answer
    x = 5,289.43

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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.