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Finding the Fourth Proportional to 3,798.22, 5,697.29 and 1,201.16

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Solution

The fourth proportional to 3,798.22, 5,697.29 and 1,201.16 is: 1,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.22 : 5,697.29 = 1,201.16 : x
  2. Step 2: Convert to fraction form
    3,798.22/5,697.29 = 1,201.16/x
  3. Step 3: Cross multiply
    3,798.22x = 5,697.29 × 1,201.16
  4. Step 4: Simplify right side
    3,798.22x = 6,843,356.86
  5. Step 5: Solve for x
    x = 6,843,356.86/3,798.22
  6. Step 6: Final answer
    x = 1,801.73

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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.