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Finding the Fourth Proportional to 5,758.94, 8,638.46 and 3,797.13

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Solution

The fourth proportional to 5,758.94, 8,638.46 and 3,797.13 is: 5,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.94 : 8,638.46 = 3,797.13 : x
  2. Step 2: Convert to fraction form
    5,758.94/8,638.46 = 3,797.13/x
  3. Step 3: Cross multiply
    5,758.94x = 8,638.46 × 3,797.13
  4. Step 4: Simplify right side
    5,758.94x = 32,801,355.62
  5. Step 5: Solve for x
    x = 32,801,355.62/5,758.94
  6. Step 6: Final answer
    x = 5,695.73

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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.