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Finding the Fourth Proportional to 5,849.82, 8,776.62 and 1,954.80

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Solution

The fourth proportional to 5,849.82, 8,776.62 and 1,954.80 is: 2,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.82 : 8,776.62 = 1,954.80 : x
  2. Step 2: Convert to fraction form
    5,849.82/8,776.62 = 1,954.80/x
  3. Step 3: Cross multiply
    5,849.82x = 8,776.62 × 1,954.80
  4. Step 4: Simplify right side
    5,849.82x = 17,156,536.78
  5. Step 5: Solve for x
    x = 17,156,536.78/5,849.82
  6. Step 6: Final answer
    x = 2,932.83

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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.