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Finding the Fourth Proportional to 3,786.39, 5,671.38 and 1,834.50

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Solution

The fourth proportional to 3,786.39, 5,671.38 and 1,834.50 is: 2,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.39 : 5,671.38 = 1,834.50 : x
  2. Step 2: Convert to fraction form
    3,786.39/5,671.38 = 1,834.50/x
  3. Step 3: Cross multiply
    3,786.39x = 5,671.38 × 1,834.50
  4. Step 4: Simplify right side
    3,786.39x = 10,404,146.61
  5. Step 5: Solve for x
    x = 10,404,146.61/3,786.39
  6. Step 6: Final answer
    x = 2,747.77

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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.