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Finding the Fourth Proportional to 3,661, 5,052.24 and 2,614.84

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Solution

The fourth proportional to 3,661, 5,052.24 and 2,614.84 is: 3,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661 : 5,052.24 = 2,614.84 : x
  2. Step 2: Convert to fraction form
    3,661/5,052.24 = 2,614.84/x
  3. Step 3: Cross multiply
    3,661x = 5,052.24 × 2,614.84
  4. Step 4: Simplify right side
    3,661x = 13,210,799.24
  5. Step 5: Solve for x
    x = 13,210,799.24/3,661
  6. Step 6: Final answer
    x = 3,608.52

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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.