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Finding the Fourth Proportional to 4,201.27, 5,800.25 and 3,734.18

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Solution

The fourth proportional to 4,201.27, 5,800.25 and 3,734.18 is: 5,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.27 : 5,800.25 = 3,734.18 : x
  2. Step 2: Convert to fraction form
    4,201.27/5,800.25 = 3,734.18/x
  3. Step 3: Cross multiply
    4,201.27x = 5,800.25 × 3,734.18
  4. Step 4: Simplify right side
    4,201.27x = 21,659,173.37
  5. Step 5: Solve for x
    x = 21,659,173.37/4,201.27
  6. Step 6: Final answer
    x = 5,155.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.