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Finding the Fourth Proportional to 5,380.45, 7,424.80 and 3,022.54

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Solution

The fourth proportional to 5,380.45, 7,424.80 and 3,022.54 is: 4,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.45 : 7,424.80 = 3,022.54 : x
  2. Step 2: Convert to fraction form
    5,380.45/7,424.80 = 3,022.54/x
  3. Step 3: Cross multiply
    5,380.45x = 7,424.80 × 3,022.54
  4. Step 4: Simplify right side
    5,380.45x = 22,441,754.99
  5. Step 5: Solve for x
    x = 22,441,754.99/5,380.45
  6. Step 6: Final answer
    x = 4,170.98

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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.