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Finding the Fourth Proportional to 3,978.94, 5,968.04 and 2,003.79

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Solution

The fourth proportional to 3,978.94, 5,968.04 and 2,003.79 is: 3,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.94 : 5,968.04 = 2,003.79 : x
  2. Step 2: Convert to fraction form
    3,978.94/5,968.04 = 2,003.79/x
  3. Step 3: Cross multiply
    3,978.94x = 5,968.04 × 2,003.79
  4. Step 4: Simplify right side
    3,978.94x = 11,958,698.87
  5. Step 5: Solve for x
    x = 11,958,698.87/3,978.94
  6. Step 6: Final answer
    x = 3,005.50

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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.