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Finding the Fourth Proportional to 4,753.14, 7,128.81 and 3,834.06

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Solution

The fourth proportional to 4,753.14, 7,128.81 and 3,834.06 is: 5,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.14 : 7,128.81 = 3,834.06 : x
  2. Step 2: Convert to fraction form
    4,753.14/7,128.81 = 3,834.06/x
  3. Step 3: Cross multiply
    4,753.14x = 7,128.81 × 3,834.06
  4. Step 4: Simplify right side
    4,753.14x = 27,332,285.27
  5. Step 5: Solve for x
    x = 27,332,285.27/4,753.14
  6. Step 6: Final answer
    x = 5,750.36

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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.