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Finding the Fourth Proportional to 6,208.36, 8,571.90 and 5,102.44

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Solution

The fourth proportional to 6,208.36, 8,571.90 and 5,102.44 is: 7,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.36 : 8,571.90 = 5,102.44 : x
  2. Step 2: Convert to fraction form
    6,208.36/8,571.90 = 5,102.44/x
  3. Step 3: Cross multiply
    6,208.36x = 8,571.90 × 5,102.44
  4. Step 4: Simplify right side
    6,208.36x = 43,737,605.44
  5. Step 5: Solve for x
    x = 43,737,605.44/6,208.36
  6. Step 6: Final answer
    x = 7,044.95

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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.