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Finding the Fourth Proportional to 6,494.33, 8,961.54 and 3,661.44

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Solution

The fourth proportional to 6,494.33, 8,961.54 and 3,661.44 is: 5,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.33 : 8,961.54 = 3,661.44 : x
  2. Step 2: Convert to fraction form
    6,494.33/8,961.54 = 3,661.44/x
  3. Step 3: Cross multiply
    6,494.33x = 8,961.54 × 3,661.44
  4. Step 4: Simplify right side
    6,494.33x = 32,812,131.49
  5. Step 5: Solve for x
    x = 32,812,131.49/6,494.33
  6. Step 6: Final answer
    x = 5,052.43

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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.