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Finding the Fourth Proportional to 6,581.68, 9,082.88 and 3,597.64

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Solution

The fourth proportional to 6,581.68, 9,082.88 and 3,597.64 is: 4,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.68 : 9,082.88 = 3,597.64 : x
  2. Step 2: Convert to fraction form
    6,581.68/9,082.88 = 3,597.64/x
  3. Step 3: Cross multiply
    6,581.68x = 9,082.88 × 3,597.64
  4. Step 4: Simplify right side
    6,581.68x = 32,676,914.42
  5. Step 5: Solve for x
    x = 32,676,914.42/6,581.68
  6. Step 6: Final answer
    x = 4,964.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.