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Finding the Fourth Proportional to 3,534.37, 5,297.37 and 1,974.31

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Solution

The fourth proportional to 3,534.37, 5,297.37 and 1,974.31 is: 2,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.37 : 5,297.37 = 1,974.31 : x
  2. Step 2: Convert to fraction form
    3,534.37/5,297.37 = 1,974.31/x
  3. Step 3: Cross multiply
    3,534.37x = 5,297.37 × 1,974.31
  4. Step 4: Simplify right side
    3,534.37x = 10,458,650.56
  5. Step 5: Solve for x
    x = 10,458,650.56/3,534.37
  6. Step 6: Final answer
    x = 2,959.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.