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Finding the Fourth Proportional to 5,388, 8,029.09 and 5,211.82

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Solution

The fourth proportional to 5,388, 8,029.09 and 5,211.82 is: 7,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388 : 8,029.09 = 5,211.82 : x
  2. Step 2: Convert to fraction form
    5,388/8,029.09 = 5,211.82/x
  3. Step 3: Cross multiply
    5,388x = 8,029.09 × 5,211.82
  4. Step 4: Simplify right side
    5,388x = 41,846,171.84
  5. Step 5: Solve for x
    x = 41,846,171.84/5,388
  6. Step 6: Final answer
    x = 7,766.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.