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Finding the Fourth Proportional to 3,828.06, 5,741.30 and 1,747.48

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Solution

The fourth proportional to 3,828.06, 5,741.30 and 1,747.48 is: 2,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.06 : 5,741.30 = 1,747.48 : x
  2. Step 2: Convert to fraction form
    3,828.06/5,741.30 = 1,747.48/x
  3. Step 3: Cross multiply
    3,828.06x = 5,741.30 × 1,747.48
  4. Step 4: Simplify right side
    3,828.06x = 10,032,806.92
  5. Step 5: Solve for x
    x = 10,032,806.92/3,828.06
  6. Step 6: Final answer
    x = 2,620.86

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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.