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Finding the Fourth Proportional to 5,635.53, 7,777.94 and 3,747.15

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Solution

The fourth proportional to 5,635.53, 7,777.94 and 3,747.15 is: 5,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.53 : 7,777.94 = 3,747.15 : x
  2. Step 2: Convert to fraction form
    5,635.53/7,777.94 = 3,747.15/x
  3. Step 3: Cross multiply
    5,635.53x = 7,777.94 × 3,747.15
  4. Step 4: Simplify right side
    5,635.53x = 29,145,107.87
  5. Step 5: Solve for x
    x = 29,145,107.87/5,635.53
  6. Step 6: Final answer
    x = 5,171.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.