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Finding the Fourth Proportional to 3,277.54, 4,917.62 and 1,197.69

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Solution

The fourth proportional to 3,277.54, 4,917.62 and 1,197.69 is: 1,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.54 : 4,917.62 = 1,197.69 : x
  2. Step 2: Convert to fraction form
    3,277.54/4,917.62 = 1,197.69/x
  3. Step 3: Cross multiply
    3,277.54x = 4,917.62 × 1,197.69
  4. Step 4: Simplify right side
    3,277.54x = 5,889,784.30
  5. Step 5: Solve for x
    x = 5,889,784.30/3,277.54
  6. Step 6: Final answer
    x = 1,797.01

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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.