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Finding the Fourth Proportional to 4,159.90, 5,736 and 2,834.38

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Solution

The fourth proportional to 4,159.90, 5,736 and 2,834.38 is: 3,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.90 : 5,736 = 2,834.38 : x
  2. Step 2: Convert to fraction form
    4,159.90/5,736 = 2,834.38/x
  3. Step 3: Cross multiply
    4,159.90x = 5,736 × 2,834.38
  4. Step 4: Simplify right side
    4,159.90x = 16,258,003.68
  5. Step 5: Solve for x
    x = 16,258,003.68/4,159.90
  6. Step 6: Final answer
    x = 3,908.27

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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.