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Finding the Fourth Proportional to 3,704.99, 5,551 and 2,162.75

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Solution

The fourth proportional to 3,704.99, 5,551 and 2,162.75 is: 3,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.99 : 5,551 = 2,162.75 : x
  2. Step 2: Convert to fraction form
    3,704.99/5,551 = 2,162.75/x
  3. Step 3: Cross multiply
    3,704.99x = 5,551 × 2,162.75
  4. Step 4: Simplify right side
    3,704.99x = 12,005,425.25
  5. Step 5: Solve for x
    x = 12,005,425.25/3,704.99
  6. Step 6: Final answer
    x = 3,240.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.