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Finding the Fourth Proportional to 3,800.20, 5,700.26 and 1,203.16

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Solution

The fourth proportional to 3,800.20, 5,700.26 and 1,203.16 is: 1,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.20 : 5,700.26 = 1,203.16 : x
  2. Step 2: Convert to fraction form
    3,800.20/5,700.26 = 1,203.16/x
  3. Step 3: Cross multiply
    3,800.20x = 5,700.26 × 1,203.16
  4. Step 4: Simplify right side
    3,800.20x = 6,858,324.82
  5. Step 5: Solve for x
    x = 6,858,324.82/3,800.20
  6. Step 6: Final answer
    x = 1,804.73

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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.