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Finding the Fourth Proportional to 3,814.56, 5,270.68 and 3,150.27

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Solution

The fourth proportional to 3,814.56, 5,270.68 and 3,150.27 is: 4,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.56 : 5,270.68 = 3,150.27 : x
  2. Step 2: Convert to fraction form
    3,814.56/5,270.68 = 3,150.27/x
  3. Step 3: Cross multiply
    3,814.56x = 5,270.68 × 3,150.27
  4. Step 4: Simplify right side
    3,814.56x = 16,604,070.38
  5. Step 5: Solve for x
    x = 16,604,070.38/3,814.56
  6. Step 6: Final answer
    x = 4,352.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.