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Finding the Fourth Proportional to 4,447.67, 6,137.84 and 2,584.67

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Solution

The fourth proportional to 4,447.67, 6,137.84 and 2,584.67 is: 3,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.67 : 6,137.84 = 2,584.67 : x
  2. Step 2: Convert to fraction form
    4,447.67/6,137.84 = 2,584.67/x
  3. Step 3: Cross multiply
    4,447.67x = 6,137.84 × 2,584.67
  4. Step 4: Simplify right side
    4,447.67x = 15,864,266.69
  5. Step 5: Solve for x
    x = 15,864,266.69/4,447.67
  6. Step 6: Final answer
    x = 3,566.88

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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.