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Finding the Fourth Proportional to 5,983.14, 8,974.08 and 1,601.04

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Solution

The fourth proportional to 5,983.14, 8,974.08 and 1,601.04 is: 2,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.14 : 8,974.08 = 1,601.04 : x
  2. Step 2: Convert to fraction form
    5,983.14/8,974.08 = 1,601.04/x
  3. Step 3: Cross multiply
    5,983.14x = 8,974.08 × 1,601.04
  4. Step 4: Simplify right side
    5,983.14x = 14,367,861.04
  5. Step 5: Solve for x
    x = 14,367,861.04/5,983.14
  6. Step 6: Final answer
    x = 2,401.39

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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.