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Finding the Fourth Proportional to 3,825.12, 5,704.02 and 3,522.18

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Solution

The fourth proportional to 3,825.12, 5,704.02 and 3,522.18 is: 5,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.12 : 5,704.02 = 3,522.18 : x
  2. Step 2: Convert to fraction form
    3,825.12/5,704.02 = 3,522.18/x
  3. Step 3: Cross multiply
    3,825.12x = 5,704.02 × 3,522.18
  4. Step 4: Simplify right side
    3,825.12x = 20,090,606.55
  5. Step 5: Solve for x
    x = 20,090,606.55/3,825.12
  6. Step 6: Final answer
    x = 5,252.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.