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Finding the Fourth Proportional to 4,137.35, 6,202.78 and 2,834.87

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Solution

The fourth proportional to 4,137.35, 6,202.78 and 2,834.87 is: 4,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.35 : 6,202.78 = 2,834.87 : x
  2. Step 2: Convert to fraction form
    4,137.35/6,202.78 = 2,834.87/x
  3. Step 3: Cross multiply
    4,137.35x = 6,202.78 × 2,834.87
  4. Step 4: Simplify right side
    4,137.35x = 17,584,074.94
  5. Step 5: Solve for x
    x = 17,584,074.94/4,137.35
  6. Step 6: Final answer
    x = 4,250.08

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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.