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Finding the Fourth Proportional to 3,734.30, 5,601.45 and 961.03

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Solution

The fourth proportional to 3,734.30, 5,601.45 and 961.03 is: 1,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.30 : 5,601.45 = 961.03 : x
  2. Step 2: Convert to fraction form
    3,734.30/5,601.45 = 961.03/x
  3. Step 3: Cross multiply
    3,734.30x = 5,601.45 × 961.03
  4. Step 4: Simplify right side
    3,734.30x = 5,383,148.47
  5. Step 5: Solve for x
    x = 5,383,148.47/3,734.30
  6. Step 6: Final answer
    x = 1,441.54

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1.5x scale

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.