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Finding the Fourth Proportional to 6,581.18, 9,082.19 and 3,597.14

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Solution

The fourth proportional to 6,581.18, 9,082.19 and 3,597.14 is: 4,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.18 : 9,082.19 = 3,597.14 : x
  2. Step 2: Convert to fraction form
    6,581.18/9,082.19 = 3,597.14/x
  3. Step 3: Cross multiply
    6,581.18x = 9,082.19 × 3,597.14
  4. Step 4: Simplify right side
    6,581.18x = 32,669,890.95
  5. Step 5: Solve for x
    x = 32,669,890.95/6,581.18
  6. Step 6: Final answer
    x = 4,964.14

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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.