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Finding the Fourth Proportional to 6,598.82, 9,107.16 and 4,082.60

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Solution

The fourth proportional to 6,598.82, 9,107.16 and 4,082.60 is: 5,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.82 : 9,107.16 = 4,082.60 : x
  2. Step 2: Convert to fraction form
    6,598.82/9,107.16 = 4,082.60/x
  3. Step 3: Cross multiply
    6,598.82x = 9,107.16 × 4,082.60
  4. Step 4: Simplify right side
    6,598.82x = 37,180,891.42
  5. Step 5: Solve for x
    x = 37,180,891.42/6,598.82
  6. Step 6: Final answer
    x = 5,634.48

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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.