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Finding the Fourth Proportional to 6,074.57, 8,383.02 and 3,422.09

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Solution

The fourth proportional to 6,074.57, 8,383.02 and 3,422.09 is: 4,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.57 : 8,383.02 = 3,422.09 : x
  2. Step 2: Convert to fraction form
    6,074.57/8,383.02 = 3,422.09/x
  3. Step 3: Cross multiply
    6,074.57x = 8,383.02 × 3,422.09
  4. Step 4: Simplify right side
    6,074.57x = 28,687,448.91
  5. Step 5: Solve for x
    x = 28,687,448.91/6,074.57
  6. Step 6: Final answer
    x = 4,722.55

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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.