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Finding the Fourth Proportional to 6,581.46, 9,082.41 and 3,597.29

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Solution

The fourth proportional to 6,581.46, 9,082.41 and 3,597.29 is: 4,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.46 : 9,082.41 = 3,597.29 : x
  2. Step 2: Convert to fraction form
    6,581.46/9,082.41 = 3,597.29/x
  3. Step 3: Cross multiply
    6,581.46x = 9,082.41 × 3,597.29
  4. Step 4: Simplify right side
    6,581.46x = 32,672,109.15
  5. Step 5: Solve for x
    x = 32,672,109.15/6,581.46
  6. Step 6: Final answer
    x = 4,964.26

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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.