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Finding the Fourth Proportional to 3,660, 5,052.48 and 2,335.50

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Solution

The fourth proportional to 3,660, 5,052.48 and 2,335.50 is: 3,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660 : 5,052.48 = 2,335.50 : x
  2. Step 2: Convert to fraction form
    3,660/5,052.48 = 2,335.50/x
  3. Step 3: Cross multiply
    3,660x = 5,052.48 × 2,335.50
  4. Step 4: Simplify right side
    3,660x = 11,800,067.04
  5. Step 5: Solve for x
    x = 11,800,067.04/3,660
  6. Step 6: Final answer
    x = 3,224.06

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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.