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Finding the Fourth Proportional to 5,455.68, 8,184.78 and 1,992.96

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Solution

The fourth proportional to 5,455.68, 8,184.78 and 1,992.96 is: 2,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.68 : 8,184.78 = 1,992.96 : x
  2. Step 2: Convert to fraction form
    5,455.68/8,184.78 = 1,992.96/x
  3. Step 3: Cross multiply
    5,455.68x = 8,184.78 × 1,992.96
  4. Step 4: Simplify right side
    5,455.68x = 16,311,939.15
  5. Step 5: Solve for x
    x = 16,311,939.15/5,455.68
  6. Step 6: Final answer
    x = 2,989.90

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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.