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Finding the Fourth Proportional to 6,207.38, 8,566.20 and 3,412.88

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Solution

The fourth proportional to 6,207.38, 8,566.20 and 3,412.88 is: 4,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.38 : 8,566.20 = 3,412.88 : x
  2. Step 2: Convert to fraction form
    6,207.38/8,566.20 = 3,412.88/x
  3. Step 3: Cross multiply
    6,207.38x = 8,566.20 × 3,412.88
  4. Step 4: Simplify right side
    6,207.38x = 29,235,369.83
  5. Step 5: Solve for x
    x = 29,235,369.83/6,207.38
  6. Step 6: Final answer
    x = 4,709.78

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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.