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Finding the Fourth Proportional to 3,809.39, 5,251.92 and 2,746.27

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Solution

The fourth proportional to 3,809.39, 5,251.92 and 2,746.27 is: 3,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.39 : 5,251.92 = 2,746.27 : x
  2. Step 2: Convert to fraction form
    3,809.39/5,251.92 = 2,746.27/x
  3. Step 3: Cross multiply
    3,809.39x = 5,251.92 × 2,746.27
  4. Step 4: Simplify right side
    3,809.39x = 14,423,164.08
  5. Step 5: Solve for x
    x = 14,423,164.08/3,809.39
  6. Step 6: Final answer
    x = 3,786.21

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