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Finding the Fourth Proportional to 5,197.04, 7,171.44 and 2,958.32

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Solution

The fourth proportional to 5,197.04, 7,171.44 and 2,958.32 is: 4,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.04 : 7,171.44 = 2,958.32 : x
  2. Step 2: Convert to fraction form
    5,197.04/7,171.44 = 2,958.32/x
  3. Step 3: Cross multiply
    5,197.04x = 7,171.44 × 2,958.32
  4. Step 4: Simplify right side
    5,197.04x = 21,215,414.38
  5. Step 5: Solve for x
    x = 21,215,414.38/5,197.04
  6. Step 6: Final answer
    x = 4,082.21

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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.