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Finding the Fourth Proportional to 3,934.62, 5,903.30 and 1,744.88

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Solution

The fourth proportional to 3,934.62, 5,903.30 and 1,744.88 is: 2,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.62 : 5,903.30 = 1,744.88 : x
  2. Step 2: Convert to fraction form
    3,934.62/5,903.30 = 1,744.88/x
  3. Step 3: Cross multiply
    3,934.62x = 5,903.30 × 1,744.88
  4. Step 4: Simplify right side
    3,934.62x = 10,300,556.14
  5. Step 5: Solve for x
    x = 10,300,556.14/3,934.62
  6. Step 6: Final answer
    x = 2,617.93

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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.