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Finding the Fourth Proportional to 3,542.39, 5,309.47 and 1,983.09

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Solution

The fourth proportional to 3,542.39, 5,309.47 and 1,983.09 is: 2,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.39 : 5,309.47 = 1,983.09 : x
  2. Step 2: Convert to fraction form
    3,542.39/5,309.47 = 1,983.09/x
  3. Step 3: Cross multiply
    3,542.39x = 5,309.47 × 1,983.09
  4. Step 4: Simplify right side
    3,542.39x = 10,529,156.86
  5. Step 5: Solve for x
    x = 10,529,156.86/3,542.39
  6. Step 6: Final answer
    x = 2,972.33

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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.