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Finding the Fourth Proportional to 6,101.44, 8,420 and 3,306.94

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Solution

The fourth proportional to 6,101.44, 8,420 and 3,306.94 is: 4,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.44 : 8,420 = 3,306.94 : x
  2. Step 2: Convert to fraction form
    6,101.44/8,420 = 3,306.94/x
  3. Step 3: Cross multiply
    6,101.44x = 8,420 × 3,306.94
  4. Step 4: Simplify right side
    6,101.44x = 27,844,434.80
  5. Step 5: Solve for x
    x = 27,844,434.80/6,101.44
  6. Step 6: Final answer
    x = 4,563.58

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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.