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Finding the Fourth Proportional to 8,393.82, 12,591.94 and 2,549.67

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Solution

The fourth proportional to 8,393.82, 12,591.94 and 2,549.67 is: 3,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.82 : 12,591.94 = 2,549.67 : x
  2. Step 2: Convert to fraction form
    8,393.82/12,591.94 = 2,549.67/x
  3. Step 3: Cross multiply
    8,393.82x = 12,591.94 × 2,549.67
  4. Step 4: Simplify right side
    8,393.82x = 32,105,291.66
  5. Step 5: Solve for x
    x = 32,105,291.66/8,393.82
  6. Step 6: Final answer
    x = 3,824.87

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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.