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Finding the Fourth Proportional to 5,992.76, 8,989.14 and 1,832.80

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Solution

The fourth proportional to 5,992.76, 8,989.14 and 1,832.80 is: 2,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.76 : 8,989.14 = 1,832.80 : x
  2. Step 2: Convert to fraction form
    5,992.76/8,989.14 = 1,832.80/x
  3. Step 3: Cross multiply
    5,992.76x = 8,989.14 × 1,832.80
  4. Step 4: Simplify right side
    5,992.76x = 16,475,295.79
  5. Step 5: Solve for x
    x = 16,475,295.79/5,992.76
  6. Step 6: Final answer
    x = 2,749.20

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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.