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Finding the Fourth Proportional to 3,767.29, 5,647.60 and 1,425.67

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Solution

The fourth proportional to 3,767.29, 5,647.60 and 1,425.67 is: 2,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.29 : 5,647.60 = 1,425.67 : x
  2. Step 2: Convert to fraction form
    3,767.29/5,647.60 = 1,425.67/x
  3. Step 3: Cross multiply
    3,767.29x = 5,647.60 × 1,425.67
  4. Step 4: Simplify right side
    3,767.29x = 8,051,601.56
  5. Step 5: Solve for x
    x = 8,051,601.56/3,767.29
  6. Step 6: Final answer
    x = 2,137.24

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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.