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Finding the Fourth Proportional to 3,172.73, 4,353.42 and 3,117.37

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Solution

The fourth proportional to 3,172.73, 4,353.42 and 3,117.37 is: 4,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.73 : 4,353.42 = 3,117.37 : x
  2. Step 2: Convert to fraction form
    3,172.73/4,353.42 = 3,117.37/x
  3. Step 3: Cross multiply
    3,172.73x = 4,353.42 × 3,117.37
  4. Step 4: Simplify right side
    3,172.73x = 13,571,236.28
  5. Step 5: Solve for x
    x = 13,571,236.28/3,172.73
  6. Step 6: Final answer
    x = 4,277.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.