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Finding the Fourth Proportional to 3,765.14, 5,200.26 and 3,546.44

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Solution

The fourth proportional to 3,765.14, 5,200.26 and 3,546.44 is: 4,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.14 : 5,200.26 = 3,546.44 : x
  2. Step 2: Convert to fraction form
    3,765.14/5,200.26 = 3,546.44/x
  3. Step 3: Cross multiply
    3,765.14x = 5,200.26 × 3,546.44
  4. Step 4: Simplify right side
    3,765.14x = 18,442,410.07
  5. Step 5: Solve for x
    x = 18,442,410.07/3,765.14
  6. Step 6: Final answer
    x = 4,898.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.