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Finding the Fourth Proportional to 4,197.52, 6,293.24 and 1,274.23

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Solution

The fourth proportional to 4,197.52, 6,293.24 and 1,274.23 is: 1,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.52 : 6,293.24 = 1,274.23 : x
  2. Step 2: Convert to fraction form
    4,197.52/6,293.24 = 1,274.23/x
  3. Step 3: Cross multiply
    4,197.52x = 6,293.24 × 1,274.23
  4. Step 4: Simplify right side
    4,197.52x = 8,019,035.21
  5. Step 5: Solve for x
    x = 8,019,035.21/4,197.52
  6. Step 6: Final answer
    x = 1,910.42

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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.