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Finding the Fourth Proportional to 3,984.84, 5,979.56 and 1,644.41

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Solution

The fourth proportional to 3,984.84, 5,979.56 and 1,644.41 is: 2,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.84 : 5,979.56 = 1,644.41 : x
  2. Step 2: Convert to fraction form
    3,984.84/5,979.56 = 1,644.41/x
  3. Step 3: Cross multiply
    3,984.84x = 5,979.56 × 1,644.41
  4. Step 4: Simplify right side
    3,984.84x = 9,832,810.14
  5. Step 5: Solve for x
    x = 9,832,810.14/3,984.84
  6. Step 6: Final answer
    x = 2,467.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.