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Finding the Fourth Proportional to 5,122.72, 7,679.22 and 1,834.12

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Solution

The fourth proportional to 5,122.72, 7,679.22 and 1,834.12 is: 2,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.72 : 7,679.22 = 1,834.12 : x
  2. Step 2: Convert to fraction form
    5,122.72/7,679.22 = 1,834.12/x
  3. Step 3: Cross multiply
    5,122.72x = 7,679.22 × 1,834.12
  4. Step 4: Simplify right side
    5,122.72x = 14,084,610.99
  5. Step 5: Solve for x
    x = 14,084,610.99/5,122.72
  6. Step 6: Final answer
    x = 2,749.44

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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.