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Finding the Fourth Proportional to 5,599.63, 7,727.97 and 3,082.24

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Solution

The fourth proportional to 5,599.63, 7,727.97 and 3,082.24 is: 4,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.63 : 7,727.97 = 3,082.24 : x
  2. Step 2: Convert to fraction form
    5,599.63/7,727.97 = 3,082.24/x
  3. Step 3: Cross multiply
    5,599.63x = 7,727.97 × 3,082.24
  4. Step 4: Simplify right side
    5,599.63x = 23,819,458.25
  5. Step 5: Solve for x
    x = 23,819,458.25/5,599.63
  6. Step 6: Final answer
    x = 4,253.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.