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Finding the Fourth Proportional to 4,090.73, 5,645.13 and 2,227.73

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Solution

The fourth proportional to 4,090.73, 5,645.13 and 2,227.73 is: 3,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.73 : 5,645.13 = 2,227.73 : x
  2. Step 2: Convert to fraction form
    4,090.73/5,645.13 = 2,227.73/x
  3. Step 3: Cross multiply
    4,090.73x = 5,645.13 × 2,227.73
  4. Step 4: Simplify right side
    4,090.73x = 12,575,825.45
  5. Step 5: Solve for x
    x = 12,575,825.45/4,090.73
  6. Step 6: Final answer
    x = 3,074.23

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