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Finding the Fourth Proportional to 4,857.69, 7,286.52 and 2,082.57

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Solution

The fourth proportional to 4,857.69, 7,286.52 and 2,082.57 is: 3,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.69 : 7,286.52 = 2,082.57 : x
  2. Step 2: Convert to fraction form
    4,857.69/7,286.52 = 2,082.57/x
  3. Step 3: Cross multiply
    4,857.69x = 7,286.52 × 2,082.57
  4. Step 4: Simplify right side
    4,857.69x = 15,174,668.44
  5. Step 5: Solve for x
    x = 15,174,668.44/4,857.69
  6. Step 6: Final answer
    x = 3,123.84

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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.