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Finding the Fourth Proportional to 5,196.98, 7,171.04 and 2,958.95

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Solution

The fourth proportional to 5,196.98, 7,171.04 and 2,958.95 is: 4,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.98 : 7,171.04 = 2,958.95 : x
  2. Step 2: Convert to fraction form
    5,196.98/7,171.04 = 2,958.95/x
  3. Step 3: Cross multiply
    5,196.98x = 7,171.04 × 2,958.95
  4. Step 4: Simplify right side
    5,196.98x = 21,218,698.16
  5. Step 5: Solve for x
    x = 21,218,698.16/5,196.98
  6. Step 6: Final answer
    x = 4,082.89

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1.5x scale

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.