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Finding the Fourth Proportional to 3,082.34, 4,629.08 and 2,835.11

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Solution

The fourth proportional to 3,082.34, 4,629.08 and 2,835.11 is: 4,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.34 : 4,629.08 = 2,835.11 : x
  2. Step 2: Convert to fraction form
    3,082.34/4,629.08 = 2,835.11/x
  3. Step 3: Cross multiply
    3,082.34x = 4,629.08 × 2,835.11
  4. Step 4: Simplify right side
    3,082.34x = 13,123,934.94
  5. Step 5: Solve for x
    x = 13,123,934.94/3,082.34
  6. Step 6: Final answer
    x = 4,257.78

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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.