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Finding the Fourth Proportional to 3,861.16, 5,786.34 and 2,815

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Solution

The fourth proportional to 3,861.16, 5,786.34 and 2,815 is: 4,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.16 : 5,786.34 = 2,815 : x
  2. Step 2: Convert to fraction form
    3,861.16/5,786.34 = 2,815/x
  3. Step 3: Cross multiply
    3,861.16x = 5,786.34 × 2,815
  4. Step 4: Simplify right side
    3,861.16x = 16,288,547.10
  5. Step 5: Solve for x
    x = 16,288,547.10/3,861.16
  6. Step 6: Final answer
    x = 4,218.56

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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.