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Finding the Fourth Proportional to 3,933.54, 5,900.29 and 1,011.84

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Solution

The fourth proportional to 3,933.54, 5,900.29 and 1,011.84 is: 1,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.54 : 5,900.29 = 1,011.84 : x
  2. Step 2: Convert to fraction form
    3,933.54/5,900.29 = 1,011.84/x
  3. Step 3: Cross multiply
    3,933.54x = 5,900.29 × 1,011.84
  4. Step 4: Simplify right side
    3,933.54x = 5,970,149.43
  5. Step 5: Solve for x
    x = 5,970,149.43/3,933.54
  6. Step 6: Final answer
    x = 1,517.75

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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.