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Finding the Fourth Proportional to 5,817.42, 8,729.78 and 2,354.67

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Solution

The fourth proportional to 5,817.42, 8,729.78 and 2,354.67 is: 3,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.42 : 8,729.78 = 2,354.67 : x
  2. Step 2: Convert to fraction form
    5,817.42/8,729.78 = 2,354.67/x
  3. Step 3: Cross multiply
    5,817.42x = 8,729.78 × 2,354.67
  4. Step 4: Simplify right side
    5,817.42x = 20,555,739.30
  5. Step 5: Solve for x
    x = 20,555,739.30/5,817.42
  6. Step 6: Final answer
    x = 3,533.48

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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.