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Finding the Fourth Proportional to 5,197.52, 7,172.31 and 2,959.39

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Solution

The fourth proportional to 5,197.52, 7,172.31 and 2,959.39 is: 4,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.52 : 7,172.31 = 2,959.39 : x
  2. Step 2: Convert to fraction form
    5,197.52/7,172.31 = 2,959.39/x
  3. Step 3: Cross multiply
    5,197.52x = 7,172.31 × 2,959.39
  4. Step 4: Simplify right side
    5,197.52x = 21,225,662.49
  5. Step 5: Solve for x
    x = 21,225,662.49/5,197.52
  6. Step 6: Final answer
    x = 4,083.81

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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.