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Finding the Fourth Proportional to 4,125.94, 6,189.18 and 1,204

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Solution

The fourth proportional to 4,125.94, 6,189.18 and 1,204 is: 1,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.94 : 6,189.18 = 1,204 : x
  2. Step 2: Convert to fraction form
    4,125.94/6,189.18 = 1,204/x
  3. Step 3: Cross multiply
    4,125.94x = 6,189.18 × 1,204
  4. Step 4: Simplify right side
    4,125.94x = 7,451,772.72
  5. Step 5: Solve for x
    x = 7,451,772.72/4,125.94
  6. Step 6: Final answer
    x = 1,806.08

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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.