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Finding the Fourth Proportional to 3,861.09, 5,786.55 and 2,106.86

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Solution

The fourth proportional to 3,861.09, 5,786.55 and 2,106.86 is: 3,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.09 : 5,786.55 = 2,106.86 : x
  2. Step 2: Convert to fraction form
    3,861.09/5,786.55 = 2,106.86/x
  3. Step 3: Cross multiply
    3,861.09x = 5,786.55 × 2,106.86
  4. Step 4: Simplify right side
    3,861.09x = 12,191,421.80
  5. Step 5: Solve for x
    x = 12,191,421.80/3,861.09
  6. Step 6: Final answer
    x = 3,157.51

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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.