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Finding the Fourth Proportional to 3,984.83, 5,978.06 and 1,387.97

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Solution

The fourth proportional to 3,984.83, 5,978.06 and 1,387.97 is: 2,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.83 : 5,978.06 = 1,387.97 : x
  2. Step 2: Convert to fraction form
    3,984.83/5,978.06 = 1,387.97/x
  3. Step 3: Cross multiply
    3,984.83x = 5,978.06 × 1,387.97
  4. Step 4: Simplify right side
    3,984.83x = 8,297,361.00
  5. Step 5: Solve for x
    x = 8,297,361.00/3,984.83
  6. Step 6: Final answer
    x = 2,082.24

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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.