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Finding the Fourth Proportional to 3,197.03, 4,796.22 and 1,005.92

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Solution

The fourth proportional to 3,197.03, 4,796.22 and 1,005.92 is: 1,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.03 : 4,796.22 = 1,005.92 : x
  2. Step 2: Convert to fraction form
    3,197.03/4,796.22 = 1,005.92/x
  3. Step 3: Cross multiply
    3,197.03x = 4,796.22 × 1,005.92
  4. Step 4: Simplify right side
    3,197.03x = 4,824,608.59
  5. Step 5: Solve for x
    x = 4,824,608.59/3,197.03
  6. Step 6: Final answer
    x = 1,509.09

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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.