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Finding the Fourth Proportional to 3,930.84, 5,896.44 and 2,083.68

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Solution

The fourth proportional to 3,930.84, 5,896.44 and 2,083.68 is: 3,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.84 : 5,896.44 = 2,083.68 : x
  2. Step 2: Convert to fraction form
    3,930.84/5,896.44 = 2,083.68/x
  3. Step 3: Cross multiply
    3,930.84x = 5,896.44 × 2,083.68
  4. Step 4: Simplify right side
    3,930.84x = 12,286,294.10
  5. Step 5: Solve for x
    x = 12,286,294.10/3,930.84
  6. Step 6: Final answer
    x = 3,125.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.