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Finding the Fourth Proportional to 5,082.72, 7,626.24 and 2,309.28

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Solution

The fourth proportional to 5,082.72, 7,626.24 and 2,309.28 is: 3,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.72 : 7,626.24 = 2,309.28 : x
  2. Step 2: Convert to fraction form
    5,082.72/7,626.24 = 2,309.28/x
  3. Step 3: Cross multiply
    5,082.72x = 7,626.24 × 2,309.28
  4. Step 4: Simplify right side
    5,082.72x = 17,611,123.51
  5. Step 5: Solve for x
    x = 17,611,123.51/5,082.72
  6. Step 6: Final answer
    x = 3,464.90

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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.