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Finding the Fourth Proportional to 5,791.64, 7,991.87 and 3,553.61

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Solution

The fourth proportional to 5,791.64, 7,991.87 and 3,553.61 is: 4,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.64 : 7,991.87 = 3,553.61 : x
  2. Step 2: Convert to fraction form
    5,791.64/7,991.87 = 3,553.61/x
  3. Step 3: Cross multiply
    5,791.64x = 7,991.87 × 3,553.61
  4. Step 4: Simplify right side
    5,791.64x = 28,399,931.42
  5. Step 5: Solve for x
    x = 28,399,931.42/5,791.64
  6. Step 6: Final answer
    x = 4,903.61

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Why These Related Problems?

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