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Finding the Fourth Proportional to 5,082.57, 7,628.67 and 2,619.09

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Solution

The fourth proportional to 5,082.57, 7,628.67 and 2,619.09 is: 3,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.57 : 7,628.67 = 2,619.09 : x
  2. Step 2: Convert to fraction form
    5,082.57/7,628.67 = 2,619.09/x
  3. Step 3: Cross multiply
    5,082.57x = 7,628.67 × 2,619.09
  4. Step 4: Simplify right side
    5,082.57x = 19,980,173.31
  5. Step 5: Solve for x
    x = 19,980,173.31/5,082.57
  6. Step 6: Final answer
    x = 3,931.12

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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.