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Finding the Fourth Proportional to 5,974.56, 8,961.84 and 1,814.60

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Solution

The fourth proportional to 5,974.56, 8,961.84 and 1,814.60 is: 2,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.56 : 8,961.84 = 1,814.60 : x
  2. Step 2: Convert to fraction form
    5,974.56/8,961.84 = 1,814.60/x
  3. Step 3: Cross multiply
    5,974.56x = 8,961.84 × 1,814.60
  4. Step 4: Simplify right side
    5,974.56x = 16,262,177.27
  5. Step 5: Solve for x
    x = 16,262,177.27/5,974.56
  6. Step 6: Final answer
    x = 2,721.90

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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.