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Finding the Fourth Proportional to 3,828.01, 5,743.28 and 1,638.61

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Solution

The fourth proportional to 3,828.01, 5,743.28 and 1,638.61 is: 2,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.01 : 5,743.28 = 1,638.61 : x
  2. Step 2: Convert to fraction form
    3,828.01/5,743.28 = 1,638.61/x
  3. Step 3: Cross multiply
    3,828.01x = 5,743.28 × 1,638.61
  4. Step 4: Simplify right side
    3,828.01x = 9,410,987.85
  5. Step 5: Solve for x
    x = 9,410,987.85/3,828.01
  6. Step 6: Final answer
    x = 2,458.45

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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.