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Finding the Fourth Proportional to 3,684, 5,523.35 and 2,199.69

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Solution

The fourth proportional to 3,684, 5,523.35 and 2,199.69 is: 3,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684 : 5,523.35 = 2,199.69 : x
  2. Step 2: Convert to fraction form
    3,684/5,523.35 = 2,199.69/x
  3. Step 3: Cross multiply
    3,684x = 5,523.35 × 2,199.69
  4. Step 4: Simplify right side
    3,684x = 12,149,657.76
  5. Step 5: Solve for x
    x = 12,149,657.76/3,684
  6. Step 6: Final answer
    x = 3,297.95

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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.