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Finding the Fourth Proportional to 3,828.09, 5,742.54 and 1,636.23

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Solution

The fourth proportional to 3,828.09, 5,742.54 and 1,636.23 is: 2,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.09 : 5,742.54 = 1,636.23 : x
  2. Step 2: Convert to fraction form
    3,828.09/5,742.54 = 1,636.23/x
  3. Step 3: Cross multiply
    3,828.09x = 5,742.54 × 1,636.23
  4. Step 4: Simplify right side
    3,828.09x = 9,396,116.22
  5. Step 5: Solve for x
    x = 9,396,116.22/3,828.09
  6. Step 6: Final answer
    x = 2,454.52

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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.