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Finding the Fourth Proportional to 4,187.58, 6,266.67 and 3,950.78

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Solution

The fourth proportional to 4,187.58, 6,266.67 and 3,950.78 is: 5,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.58 : 6,266.67 = 3,950.78 : x
  2. Step 2: Convert to fraction form
    4,187.58/6,266.67 = 3,950.78/x
  3. Step 3: Cross multiply
    4,187.58x = 6,266.67 × 3,950.78
  4. Step 4: Simplify right side
    4,187.58x = 24,758,234.50
  5. Step 5: Solve for x
    x = 24,758,234.50/4,187.58
  6. Step 6: Final answer
    x = 5,912.30

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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.