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Finding the Fourth Proportional to 3,751.92, 5,625.72 and 1,286.04

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Solution

The fourth proportional to 3,751.92, 5,625.72 and 1,286.04 is: 1,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.92 : 5,625.72 = 1,286.04 : x
  2. Step 2: Convert to fraction form
    3,751.92/5,625.72 = 1,286.04/x
  3. Step 3: Cross multiply
    3,751.92x = 5,625.72 × 1,286.04
  4. Step 4: Simplify right side
    3,751.92x = 7,234,900.95
  5. Step 5: Solve for x
    x = 7,234,900.95/3,751.92
  6. Step 6: Final answer
    x = 1,928.32

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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.