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Finding the Fourth Proportional to 3,531.62, 5,297.13 and 1,340.37

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Solution

The fourth proportional to 3,531.62, 5,297.13 and 1,340.37 is: 2,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.62 : 5,297.13 = 1,340.37 : x
  2. Step 2: Convert to fraction form
    3,531.62/5,297.13 = 1,340.37/x
  3. Step 3: Cross multiply
    3,531.62x = 5,297.13 × 1,340.37
  4. Step 4: Simplify right side
    3,531.62x = 7,100,114.14
  5. Step 5: Solve for x
    x = 7,100,114.14/3,531.62
  6. Step 6: Final answer
    x = 2,010.44

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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.