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Finding the Fourth Proportional to 3,141.20, 4,164.26 and 3,141.20

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Solution

The fourth proportional to 3,141.20, 4,164.26 and 3,141.20 is: 4,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.20 : 4,164.26 = 3,141.20 : x
  2. Step 2: Convert to fraction form
    3,141.20/4,164.26 = 3,141.20/x
  3. Step 3: Cross multiply
    3,141.20x = 4,164.26 × 3,141.20
  4. Step 4: Simplify right side
    3,141.20x = 13,080,773.51
  5. Step 5: Solve for x
    x = 13,080,773.51/3,141.20
  6. Step 6: Final answer
    x = 4,164.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.