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Finding the Fourth Proportional to 3,137.75, 4,704.36 and 1,576.42

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Solution

The fourth proportional to 3,137.75, 4,704.36 and 1,576.42 is: 2,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.75 : 4,704.36 = 1,576.42 : x
  2. Step 2: Convert to fraction form
    3,137.75/4,704.36 = 1,576.42/x
  3. Step 3: Cross multiply
    3,137.75x = 4,704.36 × 1,576.42
  4. Step 4: Simplify right side
    3,137.75x = 7,416,029.52
  5. Step 5: Solve for x
    x = 7,416,029.52/3,137.75
  6. Step 6: Final answer
    x = 2,363.49

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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.