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Finding the Fourth Proportional to 3,661.68, 5,053.09 and 1,983.05

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Solution

The fourth proportional to 3,661.68, 5,053.09 and 1,983.05 is: 2,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.68 : 5,053.09 = 1,983.05 : x
  2. Step 2: Convert to fraction form
    3,661.68/5,053.09 = 1,983.05/x
  3. Step 3: Cross multiply
    3,661.68x = 5,053.09 × 1,983.05
  4. Step 4: Simplify right side
    3,661.68x = 10,020,507.34
  5. Step 5: Solve for x
    x = 10,020,507.34/3,661.68
  6. Step 6: Final answer
    x = 2,736.59

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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.