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Finding the Fourth Proportional to 5,457.87, 8,189.10 and 3,704.85

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Solution

The fourth proportional to 5,457.87, 8,189.10 and 3,704.85 is: 5,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.87 : 8,189.10 = 3,704.85 : x
  2. Step 2: Convert to fraction form
    5,457.87/8,189.10 = 3,704.85/x
  3. Step 3: Cross multiply
    5,457.87x = 8,189.10 × 3,704.85
  4. Step 4: Simplify right side
    5,457.87x = 30,339,387.14
  5. Step 5: Solve for x
    x = 30,339,387.14/5,457.87
  6. Step 6: Final answer
    x = 5,558.83

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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.