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Finding the Fourth Proportional to 5,206.98, 7,185.78 and 2,849.27

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Solution

The fourth proportional to 5,206.98, 7,185.78 and 2,849.27 is: 3,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.98 : 7,185.78 = 2,849.27 : x
  2. Step 2: Convert to fraction form
    5,206.98/7,185.78 = 2,849.27/x
  3. Step 3: Cross multiply
    5,206.98x = 7,185.78 × 2,849.27
  4. Step 4: Simplify right side
    5,206.98x = 20,474,227.38
  5. Step 5: Solve for x
    x = 20,474,227.38/5,206.98
  6. Step 6: Final answer
    x = 3,932.07

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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.