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Finding the Fourth Proportional to 5,461.38, 8,193.30 and 1,998.63

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Solution

The fourth proportional to 5,461.38, 8,193.30 and 1,998.63 is: 2,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.38 : 8,193.30 = 1,998.63 : x
  2. Step 2: Convert to fraction form
    5,461.38/8,193.30 = 1,998.63/x
  3. Step 3: Cross multiply
    5,461.38x = 8,193.30 × 1,998.63
  4. Step 4: Simplify right side
    5,461.38x = 16,375,375.18
  5. Step 5: Solve for x
    x = 16,375,375.18/5,461.38
  6. Step 6: Final answer
    x = 2,998.40

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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.