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Finding the Fourth Proportional to 5,893.02, 8,129.85 and 3,768.09

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Solution

The fourth proportional to 5,893.02, 8,129.85 and 3,768.09 is: 5,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.02 : 8,129.85 = 3,768.09 : x
  2. Step 2: Convert to fraction form
    5,893.02/8,129.85 = 3,768.09/x
  3. Step 3: Cross multiply
    5,893.02x = 8,129.85 × 3,768.09
  4. Step 4: Simplify right side
    5,893.02x = 30,634,006.49
  5. Step 5: Solve for x
    x = 30,634,006.49/5,893.02
  6. Step 6: Final answer
    x = 5,198.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.