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Finding the Fourth Proportional to 3,987.99, 5,984.42 and 1,796.94

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Solution

The fourth proportional to 3,987.99, 5,984.42 and 1,796.94 is: 2,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.99 : 5,984.42 = 1,796.94 : x
  2. Step 2: Convert to fraction form
    3,987.99/5,984.42 = 1,796.94/x
  3. Step 3: Cross multiply
    3,987.99x = 5,984.42 × 1,796.94
  4. Step 4: Simplify right side
    3,987.99x = 10,753,634.69
  5. Step 5: Solve for x
    x = 10,753,634.69/3,987.99
  6. Step 6: Final answer
    x = 2,696.50

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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.