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Finding the Fourth Proportional to 3,796.34, 5,694.71 and 3,588.57

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Solution

The fourth proportional to 3,796.34, 5,694.71 and 3,588.57 is: 5,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.34 : 5,694.71 = 3,588.57 : x
  2. Step 2: Convert to fraction form
    3,796.34/5,694.71 = 3,588.57/x
  3. Step 3: Cross multiply
    3,796.34x = 5,694.71 × 3,588.57
  4. Step 4: Simplify right side
    3,796.34x = 20,435,847.52
  5. Step 5: Solve for x
    x = 20,435,847.52/3,796.34
  6. Step 6: Final answer
    x = 5,383.05

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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.