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Finding the Fourth Proportional to 3,797.62, 5,698.69 and 1,334.50

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Solution

The fourth proportional to 3,797.62, 5,698.69 and 1,334.50 is: 2,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.62 : 5,698.69 = 1,334.50 : x
  2. Step 2: Convert to fraction form
    3,797.62/5,698.69 = 1,334.50/x
  3. Step 3: Cross multiply
    3,797.62x = 5,698.69 × 1,334.50
  4. Step 4: Simplify right side
    3,797.62x = 7,604,884.22
  5. Step 5: Solve for x
    x = 7,604,884.22/3,797.62
  6. Step 6: Final answer
    x = 2,002.54

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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.