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Finding the Fourth Proportional to 3,834.96, 5,751.78 and 1,237.92

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Solution

The fourth proportional to 3,834.96, 5,751.78 and 1,237.92 is: 1,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.96 : 5,751.78 = 1,237.92 : x
  2. Step 2: Convert to fraction form
    3,834.96/5,751.78 = 1,237.92/x
  3. Step 3: Cross multiply
    3,834.96x = 5,751.78 × 1,237.92
  4. Step 4: Simplify right side
    3,834.96x = 7,120,243.50
  5. Step 5: Solve for x
    x = 7,120,243.50/3,834.96
  6. Step 6: Final answer
    x = 1,856.67

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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.