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Finding the Fourth Proportional to 3,851.82, 5,777.73 and 1,905.39

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Solution

The fourth proportional to 3,851.82, 5,777.73 and 1,905.39 is: 2,858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.82 : 5,777.73 = 1,905.39 : x
  2. Step 2: Convert to fraction form
    3,851.82/5,777.73 = 1,905.39/x
  3. Step 3: Cross multiply
    3,851.82x = 5,777.73 × 1,905.39
  4. Step 4: Simplify right side
    3,851.82x = 11,008,828.96
  5. Step 5: Solve for x
    x = 11,008,828.96/3,851.82
  6. Step 6: Final answer
    x = 2,858.09

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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.