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Finding the Fourth Proportional to 6,392.86, 8,815.24 and 4,001.96

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Solution

The fourth proportional to 6,392.86, 8,815.24 and 4,001.96 is: 5,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.86 : 8,815.24 = 4,001.96 : x
  2. Step 2: Convert to fraction form
    6,392.86/8,815.24 = 4,001.96/x
  3. Step 3: Cross multiply
    6,392.86x = 8,815.24 × 4,001.96
  4. Step 4: Simplify right side
    6,392.86x = 35,278,237.87
  5. Step 5: Solve for x
    x = 35,278,237.87/6,392.86
  6. Step 6: Final answer
    x = 5,518.38

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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.