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Finding the Fourth Proportional to 6,283.38, 8,678.35 and 4,183.86

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Solution

The fourth proportional to 6,283.38, 8,678.35 and 4,183.86 is: 5,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.38 : 8,678.35 = 4,183.86 : x
  2. Step 2: Convert to fraction form
    6,283.38/8,678.35 = 4,183.86/x
  3. Step 3: Cross multiply
    6,283.38x = 8,678.35 × 4,183.86
  4. Step 4: Simplify right side
    6,283.38x = 36,309,001.43
  5. Step 5: Solve for x
    x = 36,309,001.43/6,283.38
  6. Step 6: Final answer
    x = 5,778.58

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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.