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Finding the Fourth Proportional to 5,132.72, 7,694.22 and 1,844.12

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Solution

The fourth proportional to 5,132.72, 7,694.22 and 1,844.12 is: 2,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.72 : 7,694.22 = 1,844.12 : x
  2. Step 2: Convert to fraction form
    5,132.72/7,694.22 = 1,844.12/x
  3. Step 3: Cross multiply
    5,132.72x = 7,694.22 × 1,844.12
  4. Step 4: Simplify right side
    5,132.72x = 14,189,064.99
  5. Step 5: Solve for x
    x = 14,189,064.99/5,132.72
  6. Step 6: Final answer
    x = 2,764.43

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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.