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Finding the Fourth Proportional to 5,855.68, 8,082.72 and 3,868

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Solution

The fourth proportional to 5,855.68, 8,082.72 and 3,868 is: 5,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.68 : 8,082.72 = 3,868 : x
  2. Step 2: Convert to fraction form
    5,855.68/8,082.72 = 3,868/x
  3. Step 3: Cross multiply
    5,855.68x = 8,082.72 × 3,868
  4. Step 4: Simplify right side
    5,855.68x = 31,263,960.96
  5. Step 5: Solve for x
    x = 31,263,960.96/5,855.68
  6. Step 6: Final answer
    x = 5,339.08

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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.