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Finding the Fourth Proportional to 3,798.72, 5,697.60 and 1,201.68

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Solution

The fourth proportional to 3,798.72, 5,697.60 and 1,201.68 is: 1,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.72 : 5,697.60 = 1,201.68 : x
  2. Step 2: Convert to fraction form
    3,798.72/5,697.60 = 1,201.68/x
  3. Step 3: Cross multiply
    3,798.72x = 5,697.60 × 1,201.68
  4. Step 4: Simplify right side
    3,798.72x = 6,846,691.97
  5. Step 5: Solve for x
    x = 6,846,691.97/3,798.72
  6. Step 6: Final answer
    x = 1,802.37

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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.