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Finding the Fourth Proportional to 4,797.72, 7,196.97 and 1,334.97

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Solution

The fourth proportional to 4,797.72, 7,196.97 and 1,334.97 is: 2,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.72 : 7,196.97 = 1,334.97 : x
  2. Step 2: Convert to fraction form
    4,797.72/7,196.97 = 1,334.97/x
  3. Step 3: Cross multiply
    4,797.72x = 7,196.97 × 1,334.97
  4. Step 4: Simplify right side
    4,797.72x = 9,607,739.04
  5. Step 5: Solve for x
    x = 9,607,739.04/4,797.72
  6. Step 6: Final answer
    x = 2,002.56

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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.