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Finding the Fourth Proportional to 3,820.37, 5,732.37 and 2,723.22

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Solution

The fourth proportional to 3,820.37, 5,732.37 and 2,723.22 is: 4,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.37 : 5,732.37 = 2,723.22 : x
  2. Step 2: Convert to fraction form
    3,820.37/5,732.37 = 2,723.22/x
  3. Step 3: Cross multiply
    3,820.37x = 5,732.37 × 2,723.22
  4. Step 4: Simplify right side
    3,820.37x = 15,610,504.63
  5. Step 5: Solve for x
    x = 15,610,504.63/3,820.37
  6. Step 6: Final answer
    x = 4,086.13

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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.