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Finding the Fourth Proportional to 3,694.29, 5,100 and 2,853.11

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Solution

The fourth proportional to 3,694.29, 5,100 and 2,853.11 is: 3,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.29 : 5,100 = 2,853.11 : x
  2. Step 2: Convert to fraction form
    3,694.29/5,100 = 2,853.11/x
  3. Step 3: Cross multiply
    3,694.29x = 5,100 × 2,853.11
  4. Step 4: Simplify right side
    3,694.29x = 14,550,835.50
  5. Step 5: Solve for x
    x = 14,550,835.50/3,694.29
  6. Step 6: Final answer
    x = 3,938.74

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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.