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Finding the Fourth Proportional to 3,793.72, 5,689.35 and 1,453.60

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Solution

The fourth proportional to 3,793.72, 5,689.35 and 1,453.60 is: 2,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.72 : 5,689.35 = 1,453.60 : x
  2. Step 2: Convert to fraction form
    3,793.72/5,689.35 = 1,453.60/x
  3. Step 3: Cross multiply
    3,793.72x = 5,689.35 × 1,453.60
  4. Step 4: Simplify right side
    3,793.72x = 8,270,019.49
  5. Step 5: Solve for x
    x = 8,270,019.49/3,793.72
  6. Step 6: Final answer
    x = 2,179.92

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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.