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Finding the Fourth Proportional to 5,982.91, 8,974.72 and 1,823.22

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Solution

The fourth proportional to 5,982.91, 8,974.72 and 1,823.22 is: 2,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.91 : 8,974.72 = 1,823.22 : x
  2. Step 2: Convert to fraction form
    5,982.91/8,974.72 = 1,823.22/x
  3. Step 3: Cross multiply
    5,982.91x = 8,974.72 × 1,823.22
  4. Step 4: Simplify right side
    5,982.91x = 16,362,844.12
  5. Step 5: Solve for x
    x = 16,362,844.12/5,982.91
  6. Step 6: Final answer
    x = 2,734.93

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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.