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Finding the Fourth Proportional to 5,796.24, 8,694.63 and 1,847.91

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Solution

The fourth proportional to 5,796.24, 8,694.63 and 1,847.91 is: 2,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.24 : 8,694.63 = 1,847.91 : x
  2. Step 2: Convert to fraction form
    5,796.24/8,694.63 = 1,847.91/x
  3. Step 3: Cross multiply
    5,796.24x = 8,694.63 × 1,847.91
  4. Step 4: Simplify right side
    5,796.24x = 16,066,893.72
  5. Step 5: Solve for x
    x = 16,066,893.72/5,796.24
  6. Step 6: Final answer
    x = 2,771.95

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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.