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Finding the Fourth Proportional to 3,615.26, 5,422.87 and 1,274.72

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Solution

The fourth proportional to 3,615.26, 5,422.87 and 1,274.72 is: 1,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.26 : 5,422.87 = 1,274.72 : x
  2. Step 2: Convert to fraction form
    3,615.26/5,422.87 = 1,274.72/x
  3. Step 3: Cross multiply
    3,615.26x = 5,422.87 × 1,274.72
  4. Step 4: Simplify right side
    3,615.26x = 6,912,640.85
  5. Step 5: Solve for x
    x = 6,912,640.85/3,615.26
  6. Step 6: Final answer
    x = 1,912.07

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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.