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Finding the Fourth Proportional to 5,412.97, 7,469.76 and 3,022.88

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Solution

The fourth proportional to 5,412.97, 7,469.76 and 3,022.88 is: 4,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.97 : 7,469.76 = 3,022.88 : x
  2. Step 2: Convert to fraction form
    5,412.97/7,469.76 = 3,022.88/x
  3. Step 3: Cross multiply
    5,412.97x = 7,469.76 × 3,022.88
  4. Step 4: Simplify right side
    5,412.97x = 22,580,161.88
  5. Step 5: Solve for x
    x = 22,580,161.88/5,412.97
  6. Step 6: Final answer
    x = 4,171.49

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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.