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Finding the Fourth Proportional to 4,090.88, 5,645.48 and 2,227.88

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Solution

The fourth proportional to 4,090.88, 5,645.48 and 2,227.88 is: 3,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.88 : 5,645.48 = 2,227.88 : x
  2. Step 2: Convert to fraction form
    4,090.88/5,645.48 = 2,227.88/x
  3. Step 3: Cross multiply
    4,090.88x = 5,645.48 × 2,227.88
  4. Step 4: Simplify right side
    4,090.88x = 12,577,451.98
  5. Step 5: Solve for x
    x = 12,577,451.98/4,090.88
  6. Step 6: Final answer
    x = 3,074.51

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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.