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Finding the Fourth Proportional to 3,982.14, 5,982 and 2,597.64

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Solution

The fourth proportional to 3,982.14, 5,982 and 2,597.64 is: 3,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.14 : 5,982 = 2,597.64 : x
  2. Step 2: Convert to fraction form
    3,982.14/5,982 = 2,597.64/x
  3. Step 3: Cross multiply
    3,982.14x = 5,982 × 2,597.64
  4. Step 4: Simplify right side
    3,982.14x = 15,539,082.48
  5. Step 5: Solve for x
    x = 15,539,082.48/3,982.14
  6. Step 6: Final answer
    x = 3,902.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.