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Finding the Fourth Proportional to 6,669.49, 9,204.41 and 3,685.58

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Solution

The fourth proportional to 6,669.49, 9,204.41 and 3,685.58 is: 5,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.49 : 9,204.41 = 3,685.58 : x
  2. Step 2: Convert to fraction form
    6,669.49/9,204.41 = 3,685.58/x
  3. Step 3: Cross multiply
    6,669.49x = 9,204.41 × 3,685.58
  4. Step 4: Simplify right side
    6,669.49x = 33,923,589.41
  5. Step 5: Solve for x
    x = 33,923,589.41/6,669.49
  6. Step 6: Final answer
    x = 5,086.38

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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.