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Finding the Fourth Proportional to 3,769.52, 5,197.16 and 2,694.08

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Solution

The fourth proportional to 3,769.52, 5,197.16 and 2,694.08 is: 3,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.52 : 5,197.16 = 2,694.08 : x
  2. Step 2: Convert to fraction form
    3,769.52/5,197.16 = 2,694.08/x
  3. Step 3: Cross multiply
    3,769.52x = 5,197.16 × 2,694.08
  4. Step 4: Simplify right side
    3,769.52x = 14,001,551.34
  5. Step 5: Solve for x
    x = 14,001,551.34/3,769.52
  6. Step 6: Final answer
    x = 3,714.41

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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.