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Finding the Fourth Proportional to 5,704.80, 8,558.40 and 2,419.44

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Solution

The fourth proportional to 5,704.80, 8,558.40 and 2,419.44 is: 3,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.80 : 8,558.40 = 2,419.44 : x
  2. Step 2: Convert to fraction form
    5,704.80/8,558.40 = 2,419.44/x
  3. Step 3: Cross multiply
    5,704.80x = 8,558.40 × 2,419.44
  4. Step 4: Simplify right side
    5,704.80x = 20,706,535.30
  5. Step 5: Solve for x
    x = 20,706,535.30/5,704.80
  6. Step 6: Final answer
    x = 3,629.67

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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.