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Finding the Fourth Proportional to 5,982.77, 8,974.62 and 1,823.13

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Solution

The fourth proportional to 5,982.77, 8,974.62 and 1,823.13 is: 2,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.77 : 8,974.62 = 1,823.13 : x
  2. Step 2: Convert to fraction form
    5,982.77/8,974.62 = 1,823.13/x
  3. Step 3: Cross multiply
    5,982.77x = 8,974.62 × 1,823.13
  4. Step 4: Simplify right side
    5,982.77x = 16,361,898.96
  5. Step 5: Solve for x
    x = 16,361,898.96/5,982.77
  6. Step 6: Final answer
    x = 2,734.84

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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.