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Finding the Fourth Proportional to 5,864, 8,797.62 and 4,109

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Solution

The fourth proportional to 5,864, 8,797.62 and 4,109 is: 6,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864 : 8,797.62 = 4,109 : x
  2. Step 2: Convert to fraction form
    5,864/8,797.62 = 4,109/x
  3. Step 3: Cross multiply
    5,864x = 8,797.62 × 4,109
  4. Step 4: Simplify right side
    5,864x = 36,149,420.58
  5. Step 5: Solve for x
    x = 36,149,420.58/5,864
  6. Step 6: Final answer
    x = 6,164.64

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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.