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Finding the Fourth Proportional to 3,834.57, 5,751.24 and 1,060.73

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Solution

The fourth proportional to 3,834.57, 5,751.24 and 1,060.73 is: 1,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.57 : 5,751.24 = 1,060.73 : x
  2. Step 2: Convert to fraction form
    3,834.57/5,751.24 = 1,060.73/x
  3. Step 3: Cross multiply
    3,834.57x = 5,751.24 × 1,060.73
  4. Step 4: Simplify right side
    3,834.57x = 6,100,484.05
  5. Step 5: Solve for x
    x = 6,100,484.05/3,834.57
  6. Step 6: Final answer
    x = 1,590.92

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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.