Home / 5,027.82-7,542.54-1,564.26

Finding the Fourth Proportional to 5,027.82, 7,542.54 and 1,564.26

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Solution

The fourth proportional to 5,027.82, 7,542.54 and 1,564.26 is: 2,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.82 : 7,542.54 = 1,564.26 : x
  2. Step 2: Convert to fraction form
    5,027.82/7,542.54 = 1,564.26/x
  3. Step 3: Cross multiply
    5,027.82x = 7,542.54 × 1,564.26
  4. Step 4: Simplify right side
    5,027.82x = 11,798,493.62
  5. Step 5: Solve for x
    x = 11,798,493.62/5,027.82
  6. Step 6: Final answer
    x = 2,346.64

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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.