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Finding the Fourth Proportional to 6,581.75, 9,082.56 and 3,597.69

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Solution

The fourth proportional to 6,581.75, 9,082.56 and 3,597.69 is: 4,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.75 : 9,082.56 = 3,597.69 : x
  2. Step 2: Convert to fraction form
    6,581.75/9,082.56 = 3,597.69/x
  3. Step 3: Cross multiply
    6,581.75x = 9,082.56 × 3,597.69
  4. Step 4: Simplify right side
    6,581.75x = 32,676,235.29
  5. Step 5: Solve for x
    x = 32,676,235.29/6,581.75
  6. Step 6: Final answer
    x = 4,964.67

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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.