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Finding the Fourth Proportional to 6,581.87, 9,082.96 and 3,597.71

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Solution

The fourth proportional to 6,581.87, 9,082.96 and 3,597.71 is: 4,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.87 : 9,082.96 = 3,597.71 : x
  2. Step 2: Convert to fraction form
    6,581.87/9,082.96 = 3,597.71/x
  3. Step 3: Cross multiply
    6,581.87x = 9,082.96 × 3,597.71
  4. Step 4: Simplify right side
    6,581.87x = 32,677,810.61
  5. Step 5: Solve for x
    x = 32,677,810.61/6,581.87
  6. Step 6: Final answer
    x = 4,964.82

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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.