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Finding the Fourth Proportional to 3,933.50, 5,900.23 and 1,011.80

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Solution

The fourth proportional to 3,933.50, 5,900.23 and 1,011.80 is: 1,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.50 : 5,900.23 = 1,011.80 : x
  2. Step 2: Convert to fraction form
    3,933.50/5,900.23 = 1,011.80/x
  3. Step 3: Cross multiply
    3,933.50x = 5,900.23 × 1,011.80
  4. Step 4: Simplify right side
    3,933.50x = 5,969,852.71
  5. Step 5: Solve for x
    x = 5,969,852.71/3,933.50
  6. Step 6: Final answer
    x = 1,517.69

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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.