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Finding the Fourth Proportional to 5,206.98, 7,791.84 and 4,859.40

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Solution

The fourth proportional to 5,206.98, 7,791.84 and 4,859.40 is: 7,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.98 : 7,791.84 = 4,859.40 : x
  2. Step 2: Convert to fraction form
    5,206.98/7,791.84 = 4,859.40/x
  3. Step 3: Cross multiply
    5,206.98x = 7,791.84 × 4,859.40
  4. Step 4: Simplify right side
    5,206.98x = 37,863,667.30
  5. Step 5: Solve for x
    x = 37,863,667.30/5,206.98
  6. Step 6: Final answer
    x = 7,271.71

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1.5x scale

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.