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Finding the Fourth Proportional to 3,791.66, 5,234.98 and 2,447.87

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Solution

The fourth proportional to 3,791.66, 5,234.98 and 2,447.87 is: 3,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.66 : 5,234.98 = 2,447.87 : x
  2. Step 2: Convert to fraction form
    3,791.66/5,234.98 = 2,447.87/x
  3. Step 3: Cross multiply
    3,791.66x = 5,234.98 × 2,447.87
  4. Step 4: Simplify right side
    3,791.66x = 12,814,552.23
  5. Step 5: Solve for x
    x = 12,814,552.23/3,791.66
  6. Step 6: Final answer
    x = 3,379.67

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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.