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Finding the Fourth Proportional to 4,483.67, 6,725.57 and 1,197.23

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Solution

The fourth proportional to 4,483.67, 6,725.57 and 1,197.23 is: 1,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.67 : 6,725.57 = 1,197.23 : x
  2. Step 2: Convert to fraction form
    4,483.67/6,725.57 = 1,197.23/x
  3. Step 3: Cross multiply
    4,483.67x = 6,725.57 × 1,197.23
  4. Step 4: Simplify right side
    4,483.67x = 8,052,014.56
  5. Step 5: Solve for x
    x = 8,052,014.56/4,483.67
  6. Step 6: Final answer
    x = 1,795.86

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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.