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Finding the Fourth Proportional to 5,998.46, 8,996.46 and 1,614.90

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Solution

The fourth proportional to 5,998.46, 8,996.46 and 1,614.90 is: 2,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.46 : 8,996.46 = 1,614.90 : x
  2. Step 2: Convert to fraction form
    5,998.46/8,996.46 = 1,614.90/x
  3. Step 3: Cross multiply
    5,998.46x = 8,996.46 × 1,614.90
  4. Step 4: Simplify right side
    5,998.46x = 14,528,383.25
  5. Step 5: Solve for x
    x = 14,528,383.25/5,998.46
  6. Step 6: Final answer
    x = 2,422.02

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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.