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Finding the Fourth Proportional to 5,983.86, 8,976.30 and 2,697.30

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Solution

The fourth proportional to 5,983.86, 8,976.30 and 2,697.30 is: 4,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.86 : 8,976.30 = 2,697.30 : x
  2. Step 2: Convert to fraction form
    5,983.86/8,976.30 = 2,697.30/x
  3. Step 3: Cross multiply
    5,983.86x = 8,976.30 × 2,697.30
  4. Step 4: Simplify right side
    5,983.86x = 24,211,773.99
  5. Step 5: Solve for x
    x = 24,211,773.99/5,983.86
  6. Step 6: Final answer
    x = 4,046.18

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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.