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Finding the Fourth Proportional to 4,245, 6,367.95 and 1,167

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Solution

The fourth proportional to 4,245, 6,367.95 and 1,167 is: 1,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245 : 6,367.95 = 1,167 : x
  2. Step 2: Convert to fraction form
    4,245/6,367.95 = 1,167/x
  3. Step 3: Cross multiply
    4,245x = 6,367.95 × 1,167
  4. Step 4: Simplify right side
    4,245x = 7,431,397.65
  5. Step 5: Solve for x
    x = 7,431,397.65/4,245
  6. Step 6: Final answer
    x = 1,750.62

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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.