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Finding the Fourth Proportional to 3,858, 5,789.02 and 2,104.26

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Solution

The fourth proportional to 3,858, 5,789.02 and 2,104.26 is: 3,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858 : 5,789.02 = 2,104.26 : x
  2. Step 2: Convert to fraction form
    3,858/5,789.02 = 2,104.26/x
  3. Step 3: Cross multiply
    3,858x = 5,789.02 × 2,104.26
  4. Step 4: Simplify right side
    3,858x = 12,181,603.23
  5. Step 5: Solve for x
    x = 12,181,603.23/3,858
  6. Step 6: Final answer
    x = 3,157.49

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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.