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Finding the Fourth Proportional to 3,661.92, 5,052.20 and 2,068.38

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Solution

The fourth proportional to 3,661.92, 5,052.20 and 2,068.38 is: 2,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.92 : 5,052.20 = 2,068.38 : x
  2. Step 2: Convert to fraction form
    3,661.92/5,052.20 = 2,068.38/x
  3. Step 3: Cross multiply
    3,661.92x = 5,052.20 × 2,068.38
  4. Step 4: Simplify right side
    3,661.92x = 10,449,859.09
  5. Step 5: Solve for x
    x = 10,449,859.09/3,661.92
  6. Step 6: Final answer
    x = 2,853.66

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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.