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Finding the Fourth Proportional to 3,667.88, 5,497.70 and 1,820.33

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Solution

The fourth proportional to 3,667.88, 5,497.70 and 1,820.33 is: 2,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.88 : 5,497.70 = 1,820.33 : x
  2. Step 2: Convert to fraction form
    3,667.88/5,497.70 = 1,820.33/x
  3. Step 3: Cross multiply
    3,667.88x = 5,497.70 × 1,820.33
  4. Step 4: Simplify right side
    3,667.88x = 10,007,591.65
  5. Step 5: Solve for x
    x = 10,007,591.65/3,667.88
  6. Step 6: Final answer
    x = 2,728.44

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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.