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Finding the Fourth Proportional to 5,992, 8,269.68 and 3,508

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Solution

The fourth proportional to 5,992, 8,269.68 and 3,508 is: 4,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992 : 8,269.68 = 3,508 : x
  2. Step 2: Convert to fraction form
    5,992/8,269.68 = 3,508/x
  3. Step 3: Cross multiply
    5,992x = 8,269.68 × 3,508
  4. Step 4: Simplify right side
    5,992x = 29,010,037.44
  5. Step 5: Solve for x
    x = 29,010,037.44/5,992
  6. Step 6: Final answer
    x = 4,841.46

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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.