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Finding the Fourth Proportional to 5,992.94, 8,989.42 and 1,832.96

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Solution

The fourth proportional to 5,992.94, 8,989.42 and 1,832.96 is: 2,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.94 : 8,989.42 = 1,832.96 : x
  2. Step 2: Convert to fraction form
    5,992.94/8,989.42 = 1,832.96/x
  3. Step 3: Cross multiply
    5,992.94x = 8,989.42 × 1,832.96
  4. Step 4: Simplify right side
    5,992.94x = 16,477,247.28
  5. Step 5: Solve for x
    x = 16,477,247.28/5,992.94
  6. Step 6: Final answer
    x = 2,749.44

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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.