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Finding the Fourth Proportional to 5,893.50, 8,840.26 and 1,997.90

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Solution

The fourth proportional to 5,893.50, 8,840.26 and 1,997.90 is: 2,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.50 : 8,840.26 = 1,997.90 : x
  2. Step 2: Convert to fraction form
    5,893.50/8,840.26 = 1,997.90/x
  3. Step 3: Cross multiply
    5,893.50x = 8,840.26 × 1,997.90
  4. Step 4: Simplify right side
    5,893.50x = 17,661,955.45
  5. Step 5: Solve for x
    x = 17,661,955.45/5,893.50
  6. Step 6: Final answer
    x = 2,996.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.