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Finding the Fourth Proportional to 3,860.33, 5,789.78 and 1,086.32

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Solution

The fourth proportional to 3,860.33, 5,789.78 and 1,086.32 is: 1,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.33 : 5,789.78 = 1,086.32 : x
  2. Step 2: Convert to fraction form
    3,860.33/5,789.78 = 1,086.32/x
  3. Step 3: Cross multiply
    3,860.33x = 5,789.78 × 1,086.32
  4. Step 4: Simplify right side
    3,860.33x = 6,289,548.38
  5. Step 5: Solve for x
    x = 6,289,548.38/3,860.33
  6. Step 6: Final answer
    x = 1,629.28

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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.