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Finding the Fourth Proportional to 3,367.74, 5,052.42 and 1,059.24

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Solution

The fourth proportional to 3,367.74, 5,052.42 and 1,059.24 is: 1,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.74 : 5,052.42 = 1,059.24 : x
  2. Step 2: Convert to fraction form
    3,367.74/5,052.42 = 1,059.24/x
  3. Step 3: Cross multiply
    3,367.74x = 5,052.42 × 1,059.24
  4. Step 4: Simplify right side
    3,367.74x = 5,351,725.36
  5. Step 5: Solve for x
    x = 5,351,725.36/3,367.74
  6. Step 6: Final answer
    x = 1,589.11

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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.