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Finding the Fourth Proportional to 6,083.50, 8,395.24 and 3,289

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Solution

The fourth proportional to 6,083.50, 8,395.24 and 3,289 is: 4,538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.50 : 8,395.24 = 3,289 : x
  2. Step 2: Convert to fraction form
    6,083.50/8,395.24 = 3,289/x
  3. Step 3: Cross multiply
    6,083.50x = 8,395.24 × 3,289
  4. Step 4: Simplify right side
    6,083.50x = 27,611,944.36
  5. Step 5: Solve for x
    x = 27,611,944.36/6,083.50
  6. Step 6: Final answer
    x = 4,538.83

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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.