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Finding the Fourth Proportional to 5,082.74, 7,626.23 and 1,796.16

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Solution

The fourth proportional to 5,082.74, 7,626.23 and 1,796.16 is: 2,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.74 : 7,626.23 = 1,796.16 : x
  2. Step 2: Convert to fraction form
    5,082.74/7,626.23 = 1,796.16/x
  3. Step 3: Cross multiply
    5,082.74x = 7,626.23 × 1,796.16
  4. Step 4: Simplify right side
    5,082.74x = 13,697,929.28
  5. Step 5: Solve for x
    x = 13,697,929.28/5,082.74
  6. Step 6: Final answer
    x = 2,694.99

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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.