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Finding the Fourth Proportional to 3,858.54, 5,324.79 and 2,090.14

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Solution

The fourth proportional to 3,858.54, 5,324.79 and 2,090.14 is: 2,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.54 : 5,324.79 = 2,090.14 : x
  2. Step 2: Convert to fraction form
    3,858.54/5,324.79 = 2,090.14/x
  3. Step 3: Cross multiply
    3,858.54x = 5,324.79 × 2,090.14
  4. Step 4: Simplify right side
    3,858.54x = 11,129,539.34
  5. Step 5: Solve for x
    x = 11,129,539.34/3,858.54
  6. Step 6: Final answer
    x = 2,884.39

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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.