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Finding the Fourth Proportional to 3,872.70, 5,808.24 and 1,274.22

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Solution

The fourth proportional to 3,872.70, 5,808.24 and 1,274.22 is: 1,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.70 : 5,808.24 = 1,274.22 : x
  2. Step 2: Convert to fraction form
    3,872.70/5,808.24 = 1,274.22/x
  3. Step 3: Cross multiply
    3,872.70x = 5,808.24 × 1,274.22
  4. Step 4: Simplify right side
    3,872.70x = 7,400,975.57
  5. Step 5: Solve for x
    x = 7,400,975.57/3,872.70
  6. Step 6: Final answer
    x = 1,911.06

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Why These Related Problems?

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