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Finding the Fourth Proportional to 5,129.50, 7,079.25 and 3,141.38

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Solution

The fourth proportional to 5,129.50, 7,079.25 and 3,141.38 is: 4,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.50 : 7,079.25 = 3,141.38 : x
  2. Step 2: Convert to fraction form
    5,129.50/7,079.25 = 3,141.38/x
  3. Step 3: Cross multiply
    5,129.50x = 7,079.25 × 3,141.38
  4. Step 4: Simplify right side
    5,129.50x = 22,238,614.37
  5. Step 5: Solve for x
    x = 22,238,614.37/5,129.50
  6. Step 6: Final answer
    x = 4,335.44

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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.