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Finding the Fourth Proportional to 4,041, 5,576.67 and 2,469.96

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Solution

The fourth proportional to 4,041, 5,576.67 and 2,469.96 is: 3,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041 : 5,576.67 = 2,469.96 : x
  2. Step 2: Convert to fraction form
    4,041/5,576.67 = 2,469.96/x
  3. Step 3: Cross multiply
    4,041x = 5,576.67 × 2,469.96
  4. Step 4: Simplify right side
    4,041x = 13,774,151.83
  5. Step 5: Solve for x
    x = 13,774,151.83/4,041
  6. Step 6: Final answer
    x = 3,408.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.