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Finding the Fourth Proportional to 6,581.14, 9,082.17 and 3,597.16

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Solution

The fourth proportional to 6,581.14, 9,082.17 and 3,597.16 is: 4,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.14 : 9,082.17 = 3,597.16 : x
  2. Step 2: Convert to fraction form
    6,581.14/9,082.17 = 3,597.16/x
  3. Step 3: Cross multiply
    6,581.14x = 9,082.17 × 3,597.16
  4. Step 4: Simplify right side
    6,581.14x = 32,670,018.64
  5. Step 5: Solve for x
    x = 32,670,018.64/6,581.14
  6. Step 6: Final answer
    x = 4,964.19

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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.