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Finding the Fourth Proportional to 3,775.32, 5,667.84 and 3,201.84

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Solution

The fourth proportional to 3,775.32, 5,667.84 and 3,201.84 is: 4,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.32 : 5,667.84 = 3,201.84 : x
  2. Step 2: Convert to fraction form
    3,775.32/5,667.84 = 3,201.84/x
  3. Step 3: Cross multiply
    3,775.32x = 5,667.84 × 3,201.84
  4. Step 4: Simplify right side
    3,775.32x = 18,147,516.83
  5. Step 5: Solve for x
    x = 18,147,516.83/3,775.32
  6. Step 6: Final answer
    x = 4,806.88

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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.