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Finding the Fourth Proportional to 3,754.52, 5,629.74 and 2,114.27

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Solution

The fourth proportional to 3,754.52, 5,629.74 and 2,114.27 is: 3,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.52 : 5,629.74 = 2,114.27 : x
  2. Step 2: Convert to fraction form
    3,754.52/5,629.74 = 2,114.27/x
  3. Step 3: Cross multiply
    3,754.52x = 5,629.74 × 2,114.27
  4. Step 4: Simplify right side
    3,754.52x = 11,902,762.24
  5. Step 5: Solve for x
    x = 11,902,762.24/3,754.52
  6. Step 6: Final answer
    x = 3,170.25

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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.