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Finding the Fourth Proportional to 3,828.09, 5,743.50 and 1,636.99

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Solution

The fourth proportional to 3,828.09, 5,743.50 and 1,636.99 is: 2,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.09 : 5,743.50 = 1,636.99 : x
  2. Step 2: Convert to fraction form
    3,828.09/5,743.50 = 1,636.99/x
  3. Step 3: Cross multiply
    3,828.09x = 5,743.50 × 1,636.99
  4. Step 4: Simplify right side
    3,828.09x = 9,402,052.07
  5. Step 5: Solve for x
    x = 9,402,052.07/3,828.09
  6. Step 6: Final answer
    x = 2,456.07

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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.