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Finding the Fourth Proportional to 5,380.94, 7,425.80 and 3,023.24

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Solution

The fourth proportional to 5,380.94, 7,425.80 and 3,023.24 is: 4,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.94 : 7,425.80 = 3,023.24 : x
  2. Step 2: Convert to fraction form
    5,380.94/7,425.80 = 3,023.24/x
  3. Step 3: Cross multiply
    5,380.94x = 7,425.80 × 3,023.24
  4. Step 4: Simplify right side
    5,380.94x = 22,449,975.59
  5. Step 5: Solve for x
    x = 22,449,975.59/5,380.94
  6. Step 6: Final answer
    x = 4,172.13

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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.