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Finding the Fourth Proportional to 4,264.50, 6,397.02 and 1,144.44

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Solution

The fourth proportional to 4,264.50, 6,397.02 and 1,144.44 is: 1,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.50 : 6,397.02 = 1,144.44 : x
  2. Step 2: Convert to fraction form
    4,264.50/6,397.02 = 1,144.44/x
  3. Step 3: Cross multiply
    4,264.50x = 6,397.02 × 1,144.44
  4. Step 4: Simplify right side
    4,264.50x = 7,321,005.57
  5. Step 5: Solve for x
    x = 7,321,005.57/4,264.50
  6. Step 6: Final answer
    x = 1,716.73

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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.