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Finding the Fourth Proportional to 3,858.80, 5,325.09 and 2,090.37

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Solution

The fourth proportional to 3,858.80, 5,325.09 and 2,090.37 is: 2,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.80 : 5,325.09 = 2,090.37 : x
  2. Step 2: Convert to fraction form
    3,858.80/5,325.09 = 2,090.37/x
  3. Step 3: Cross multiply
    3,858.80x = 5,325.09 × 2,090.37
  4. Step 4: Simplify right side
    3,858.80x = 11,131,408.38
  5. Step 5: Solve for x
    x = 11,131,408.38/3,858.80
  6. Step 6: Final answer
    x = 2,884.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.