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Finding the Fourth Proportional to 3,175.87, 4,382.72 and 1,850.34

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Solution

The fourth proportional to 3,175.87, 4,382.72 and 1,850.34 is: 2,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.87 : 4,382.72 = 1,850.34 : x
  2. Step 2: Convert to fraction form
    3,175.87/4,382.72 = 1,850.34/x
  3. Step 3: Cross multiply
    3,175.87x = 4,382.72 × 1,850.34
  4. Step 4: Simplify right side
    3,175.87x = 8,109,522.12
  5. Step 5: Solve for x
    x = 8,109,522.12/3,175.87
  6. Step 6: Final answer
    x = 2,553.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.