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Finding the Fourth Proportional to 3,197.44, 4,797 and 1,006.24

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Solution

The fourth proportional to 3,197.44, 4,797 and 1,006.24 is: 1,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.44 : 4,797 = 1,006.24 : x
  2. Step 2: Convert to fraction form
    3,197.44/4,797 = 1,006.24/x
  3. Step 3: Cross multiply
    3,197.44x = 4,797 × 1,006.24
  4. Step 4: Simplify right side
    3,197.44x = 4,826,933.28
  5. Step 5: Solve for x
    x = 4,826,933.28/3,197.44
  6. Step 6: Final answer
    x = 1,509.62

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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.