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Finding the Fourth Proportional to 3,861.63, 5,793.26 and 1,670.67

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Solution

The fourth proportional to 3,861.63, 5,793.26 and 1,670.67 is: 2,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.63 : 5,793.26 = 1,670.67 : x
  2. Step 2: Convert to fraction form
    3,861.63/5,793.26 = 1,670.67/x
  3. Step 3: Cross multiply
    3,861.63x = 5,793.26 × 1,670.67
  4. Step 4: Simplify right side
    3,861.63x = 9,678,617.33
  5. Step 5: Solve for x
    x = 9,678,617.33/3,861.63
  6. Step 6: Final answer
    x = 2,506.36

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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.