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Finding the Fourth Proportional to 4,857.67, 7,286.51 and 2,082.55

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Solution

The fourth proportional to 4,857.67, 7,286.51 and 2,082.55 is: 3,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.67 : 7,286.51 = 2,082.55 : x
  2. Step 2: Convert to fraction form
    4,857.67/7,286.51 = 2,082.55/x
  3. Step 3: Cross multiply
    4,857.67x = 7,286.51 × 2,082.55
  4. Step 4: Simplify right side
    4,857.67x = 15,174,521.40
  5. Step 5: Solve for x
    x = 15,174,521.40/4,857.67
  6. Step 6: Final answer
    x = 3,123.83

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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.