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Finding the Fourth Proportional to 3,976.62, 5,966.84 and 1,638.33

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Solution

The fourth proportional to 3,976.62, 5,966.84 and 1,638.33 is: 2,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.62 : 5,966.84 = 1,638.33 : x
  2. Step 2: Convert to fraction form
    3,976.62/5,966.84 = 1,638.33/x
  3. Step 3: Cross multiply
    3,976.62x = 5,966.84 × 1,638.33
  4. Step 4: Simplify right side
    3,976.62x = 9,775,652.98
  5. Step 5: Solve for x
    x = 9,775,652.98/3,976.62
  6. Step 6: Final answer
    x = 2,458.28

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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.