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Finding the Fourth Proportional to 6,213.12, 8,574.27 and 3,380.66

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Solution

The fourth proportional to 6,213.12, 8,574.27 and 3,380.66 is: 4,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.12 : 8,574.27 = 3,380.66 : x
  2. Step 2: Convert to fraction form
    6,213.12/8,574.27 = 3,380.66/x
  3. Step 3: Cross multiply
    6,213.12x = 8,574.27 × 3,380.66
  4. Step 4: Simplify right side
    6,213.12x = 28,986,691.62
  5. Step 5: Solve for x
    x = 28,986,691.62/6,213.12
  6. Step 6: Final answer
    x = 4,665.40

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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.