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Finding the Fourth Proportional to 4,141.12, 6,201.12 and 4,018

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Solution

The fourth proportional to 4,141.12, 6,201.12 and 4,018 is: 6,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.12 : 6,201.12 = 4,018 : x
  2. Step 2: Convert to fraction form
    4,141.12/6,201.12 = 4,018/x
  3. Step 3: Cross multiply
    4,141.12x = 6,201.12 × 4,018
  4. Step 4: Simplify right side
    4,141.12x = 24,916,100.16
  5. Step 5: Solve for x
    x = 24,916,100.16/4,141.12
  6. Step 6: Final answer
    x = 6,016.75

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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.