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Finding the Fourth Proportional to 3,522.28, 5,283.36 and 1,213.72

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Solution

The fourth proportional to 3,522.28, 5,283.36 and 1,213.72 is: 1,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.28 : 5,283.36 = 1,213.72 : x
  2. Step 2: Convert to fraction form
    3,522.28/5,283.36 = 1,213.72/x
  3. Step 3: Cross multiply
    3,522.28x = 5,283.36 × 1,213.72
  4. Step 4: Simplify right side
    3,522.28x = 6,412,519.70
  5. Step 5: Solve for x
    x = 6,412,519.70/3,522.28
  6. Step 6: Final answer
    x = 1,820.56

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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.