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Finding the Fourth Proportional to 3,987.96, 5,977.45 and 1,906.26

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Solution

The fourth proportional to 3,987.96, 5,977.45 and 1,906.26 is: 2,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.96 : 5,977.45 = 1,906.26 : x
  2. Step 2: Convert to fraction form
    3,987.96/5,977.45 = 1,906.26/x
  3. Step 3: Cross multiply
    3,987.96x = 5,977.45 × 1,906.26
  4. Step 4: Simplify right side
    3,987.96x = 11,394,573.84
  5. Step 5: Solve for x
    x = 11,394,573.84/3,987.96
  6. Step 6: Final answer
    x = 2,857.24

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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.