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Finding the Fourth Proportional to 3,380.42, 4,668.20 and 3,196.34

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Solution

The fourth proportional to 3,380.42, 4,668.20 and 3,196.34 is: 4,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.42 : 4,668.20 = 3,196.34 : x
  2. Step 2: Convert to fraction form
    3,380.42/4,668.20 = 3,196.34/x
  3. Step 3: Cross multiply
    3,380.42x = 4,668.20 × 3,196.34
  4. Step 4: Simplify right side
    3,380.42x = 14,921,154.39
  5. Step 5: Solve for x
    x = 14,921,154.39/3,380.42
  6. Step 6: Final answer
    x = 4,413.99

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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.