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Finding the Fourth Proportional to 5,463.38, 8,195.09 and 2,000.63

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Solution

The fourth proportional to 5,463.38, 8,195.09 and 2,000.63 is: 3,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.38 : 8,195.09 = 2,000.63 : x
  2. Step 2: Convert to fraction form
    5,463.38/8,195.09 = 2,000.63/x
  3. Step 3: Cross multiply
    5,463.38x = 8,195.09 × 2,000.63
  4. Step 4: Simplify right side
    5,463.38x = 16,395,291.93
  5. Step 5: Solve for x
    x = 16,395,291.93/5,463.38
  6. Step 6: Final answer
    x = 3,000.95

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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.