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Finding the Fourth Proportional to 3,770.54, 5,202.77 and 2,155.43

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Solution

The fourth proportional to 3,770.54, 5,202.77 and 2,155.43 is: 2,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.54 : 5,202.77 = 2,155.43 : x
  2. Step 2: Convert to fraction form
    3,770.54/5,202.77 = 2,155.43/x
  3. Step 3: Cross multiply
    3,770.54x = 5,202.77 × 2,155.43
  4. Step 4: Simplify right side
    3,770.54x = 11,214,194.14
  5. Step 5: Solve for x
    x = 11,214,194.14/3,770.54
  6. Step 6: Final answer
    x = 2,974.16

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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.