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Finding the Fourth Proportional to 3,789.46, 5,201.42 and 3,360.46

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Solution

The fourth proportional to 3,789.46, 5,201.42 and 3,360.46 is: 4,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.46 : 5,201.42 = 3,360.46 : x
  2. Step 2: Convert to fraction form
    3,789.46/5,201.42 = 3,360.46/x
  3. Step 3: Cross multiply
    3,789.46x = 5,201.42 × 3,360.46
  4. Step 4: Simplify right side
    3,789.46x = 17,479,163.85
  5. Step 5: Solve for x
    x = 17,479,163.85/3,789.46
  6. Step 6: Final answer
    x = 4,612.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.