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Finding the Fourth Proportional to 5,959.56, 8,195.03 and 5,172.24

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Solution

The fourth proportional to 5,959.56, 8,195.03 and 5,172.24 is: 7,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.56 : 8,195.03 = 5,172.24 : x
  2. Step 2: Convert to fraction form
    5,959.56/8,195.03 = 5,172.24/x
  3. Step 3: Cross multiply
    5,959.56x = 8,195.03 × 5,172.24
  4. Step 4: Simplify right side
    5,959.56x = 42,386,661.97
  5. Step 5: Solve for x
    x = 42,386,661.97/5,959.56
  6. Step 6: Final answer
    x = 7,112.38

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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.