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Finding the Fourth Proportional to 3,636.47, 5,018.09 and 2,144.32

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Solution

The fourth proportional to 3,636.47, 5,018.09 and 2,144.32 is: 2,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.47 : 5,018.09 = 2,144.32 : x
  2. Step 2: Convert to fraction form
    3,636.47/5,018.09 = 2,144.32/x
  3. Step 3: Cross multiply
    3,636.47x = 5,018.09 × 2,144.32
  4. Step 4: Simplify right side
    3,636.47x = 10,760,383.56
  5. Step 5: Solve for x
    x = 10,760,383.56/3,636.47
  6. Step 6: Final answer
    x = 2,959.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.