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Finding the Fourth Proportional to 3,754.92, 5,633.02 and 1,157.80

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Solution

The fourth proportional to 3,754.92, 5,633.02 and 1,157.80 is: 1,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.92 : 5,633.02 = 1,157.80 : x
  2. Step 2: Convert to fraction form
    3,754.92/5,633.02 = 1,157.80/x
  3. Step 3: Cross multiply
    3,754.92x = 5,633.02 × 1,157.80
  4. Step 4: Simplify right side
    3,754.92x = 6,521,910.56
  5. Step 5: Solve for x
    x = 6,521,910.56/3,754.92
  6. Step 6: Final answer
    x = 1,736.90

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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.