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Finding the Fourth Proportional to 6,183.82, 8,533.89 and 3,389.32

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Solution

The fourth proportional to 6,183.82, 8,533.89 and 3,389.32 is: 4,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.82 : 8,533.89 = 3,389.32 : x
  2. Step 2: Convert to fraction form
    6,183.82/8,533.89 = 3,389.32/x
  3. Step 3: Cross multiply
    6,183.82x = 8,533.89 × 3,389.32
  4. Step 4: Simplify right side
    6,183.82x = 28,924,084.05
  5. Step 5: Solve for x
    x = 28,924,084.05/6,183.82
  6. Step 6: Final answer
    x = 4,677.38

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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.