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Finding the Fourth Proportional to 5,412.45, 7,469.15 and 3,022.29

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Solution

The fourth proportional to 5,412.45, 7,469.15 and 3,022.29 is: 4,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.45 : 7,469.15 = 3,022.29 : x
  2. Step 2: Convert to fraction form
    5,412.45/7,469.15 = 3,022.29/x
  3. Step 3: Cross multiply
    5,412.45x = 7,469.15 × 3,022.29
  4. Step 4: Simplify right side
    5,412.45x = 22,573,922.24
  5. Step 5: Solve for x
    x = 22,573,922.24/5,412.45
  6. Step 6: Final answer
    x = 4,170.74

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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.