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Finding the Fourth Proportional to 3,225, 4,835.21 and 1,469.13

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Solution

The fourth proportional to 3,225, 4,835.21 and 1,469.13 is: 2,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225 : 4,835.21 = 1,469.13 : x
  2. Step 2: Convert to fraction form
    3,225/4,835.21 = 1,469.13/x
  3. Step 3: Cross multiply
    3,225x = 4,835.21 × 1,469.13
  4. Step 4: Simplify right side
    3,225x = 7,103,544.72
  5. Step 5: Solve for x
    x = 7,103,544.72/3,225
  6. Step 6: Final answer
    x = 2,202.65

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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.