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Finding the Fourth Proportional to 3,522.44, 5,280.46 and 1,469.32

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Solution

The fourth proportional to 3,522.44, 5,280.46 and 1,469.32 is: 2,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.44 : 5,280.46 = 1,469.32 : x
  2. Step 2: Convert to fraction form
    3,522.44/5,280.46 = 1,469.32/x
  3. Step 3: Cross multiply
    3,522.44x = 5,280.46 × 1,469.32
  4. Step 4: Simplify right side
    3,522.44x = 7,758,685.49
  5. Step 5: Solve for x
    x = 7,758,685.49/3,522.44
  6. Step 6: Final answer
    x = 2,202.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.