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Finding the Fourth Proportional to 5,742.26, 8,607.94 and 3,635

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Solution

The fourth proportional to 5,742.26, 8,607.94 and 3,635 is: 5,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.26 : 8,607.94 = 3,635 : x
  2. Step 2: Convert to fraction form
    5,742.26/8,607.94 = 3,635/x
  3. Step 3: Cross multiply
    5,742.26x = 8,607.94 × 3,635
  4. Step 4: Simplify right side
    5,742.26x = 31,289,861.90
  5. Step 5: Solve for x
    x = 31,289,861.90/5,742.26
  6. Step 6: Final answer
    x = 5,449.05

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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.