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Finding the Fourth Proportional to 4,174.21, 6,255.79 and 2,195.79

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Solution

The fourth proportional to 4,174.21, 6,255.79 and 2,195.79 is: 3,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.21 : 6,255.79 = 2,195.79 : x
  2. Step 2: Convert to fraction form
    4,174.21/6,255.79 = 2,195.79/x
  3. Step 3: Cross multiply
    4,174.21x = 6,255.79 × 2,195.79
  4. Step 4: Simplify right side
    4,174.21x = 13,736,401.12
  5. Step 5: Solve for x
    x = 13,736,401.12/4,174.21
  6. Step 6: Final answer
    x = 3,290.78

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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.