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Finding the Fourth Proportional to 5,986.91, 8,976.62 and 1,825.54

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Solution

The fourth proportional to 5,986.91, 8,976.62 and 1,825.54 is: 2,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.91 : 8,976.62 = 1,825.54 : x
  2. Step 2: Convert to fraction form
    5,986.91/8,976.62 = 1,825.54/x
  3. Step 3: Cross multiply
    5,986.91x = 8,976.62 × 1,825.54
  4. Step 4: Simplify right side
    5,986.91x = 16,387,161.00
  5. Step 5: Solve for x
    x = 16,387,161.00/5,986.91
  6. Step 6: Final answer
    x = 2,737.16

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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.