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Finding the Fourth Proportional to 3,834.84, 5,752.27 and 1,237.78

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Solution

The fourth proportional to 3,834.84, 5,752.27 and 1,237.78 is: 1,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 5,752.27 = 1,237.78 : x
  2. Step 2: Convert to fraction form
    3,834.84/5,752.27 = 1,237.78/x
  3. Step 3: Cross multiply
    3,834.84x = 5,752.27 × 1,237.78
  4. Step 4: Simplify right side
    3,834.84x = 7,120,046.54
  5. Step 5: Solve for x
    x = 7,120,046.54/3,834.84
  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.