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Finding the Fourth Proportional to 5,454.66, 8,183.04 and 1,757.82

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Solution

The fourth proportional to 5,454.66, 8,183.04 and 1,757.82 is: 2,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.66 : 8,183.04 = 1,757.82 : x
  2. Step 2: Convert to fraction form
    5,454.66/8,183.04 = 1,757.82/x
  3. Step 3: Cross multiply
    5,454.66x = 8,183.04 × 1,757.82
  4. Step 4: Simplify right side
    5,454.66x = 14,384,311.37
  5. Step 5: Solve for x
    x = 14,384,311.37/5,454.66
  6. Step 6: Final answer
    x = 2,637.07

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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.