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Finding the Fourth Proportional to 6,581.61, 9,082.64 and 3,597.39

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Solution

The fourth proportional to 6,581.61, 9,082.64 and 3,597.39 is: 4,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.61 : 9,082.64 = 3,597.39 : x
  2. Step 2: Convert to fraction form
    6,581.61/9,082.64 = 3,597.39/x
  3. Step 3: Cross multiply
    6,581.61x = 9,082.64 × 3,597.39
  4. Step 4: Simplify right side
    6,581.61x = 32,673,798.31
  5. Step 5: Solve for x
    x = 32,673,798.31/6,581.61
  6. Step 6: Final answer
    x = 4,964.41

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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.