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Finding the Fourth Proportional to 3,793.64, 5,235.24 and 2,221.40

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Solution

The fourth proportional to 3,793.64, 5,235.24 and 2,221.40 is: 3,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.64 : 5,235.24 = 2,221.40 : x
  2. Step 2: Convert to fraction form
    3,793.64/5,235.24 = 2,221.40/x
  3. Step 3: Cross multiply
    3,793.64x = 5,235.24 × 2,221.40
  4. Step 4: Simplify right side
    3,793.64x = 11,629,562.14
  5. Step 5: Solve for x
    x = 11,629,562.14/3,793.64
  6. Step 6: Final answer
    x = 3,065.54

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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.