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Finding the Fourth Proportional to 5,522.68, 7,627.94 and 4,028.23

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Solution

The fourth proportional to 5,522.68, 7,627.94 and 4,028.23 is: 5,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.68 : 7,627.94 = 4,028.23 : x
  2. Step 2: Convert to fraction form
    5,522.68/7,627.94 = 4,028.23/x
  3. Step 3: Cross multiply
    5,522.68x = 7,627.94 × 4,028.23
  4. Step 4: Simplify right side
    5,522.68x = 30,727,096.75
  5. Step 5: Solve for x
    x = 30,727,096.75/5,522.68
  6. Step 6: Final answer
    x = 5,563.80

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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.