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Finding the Fourth Proportional to 3,675, 5,512.53 and 1,366.50

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Solution

The fourth proportional to 3,675, 5,512.53 and 1,366.50 is: 2,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 5,512.53 = 1,366.50 : x
  2. Step 2: Convert to fraction form
    3,675/5,512.53 = 1,366.50/x
  3. Step 3: Cross multiply
    3,675x = 5,512.53 × 1,366.50
  4. Step 4: Simplify right side
    3,675x = 7,532,872.25
  5. Step 5: Solve for x
    x = 7,532,872.25/3,675
  6. Step 6: Final answer
    x = 2,049.76

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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.