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Finding the Fourth Proportional to 3,277.47, 4,917.53 and 1,197.62

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Solution

The fourth proportional to 3,277.47, 4,917.53 and 1,197.62 is: 1,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.47 : 4,917.53 = 1,197.62 : x
  2. Step 2: Convert to fraction form
    3,277.47/4,917.53 = 1,197.62/x
  3. Step 3: Cross multiply
    3,277.47x = 4,917.53 × 1,197.62
  4. Step 4: Simplify right side
    3,277.47x = 5,889,301.70
  5. Step 5: Solve for x
    x = 5,889,301.70/3,277.47
  6. Step 6: Final answer
    x = 1,796.90

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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.