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Finding the Fourth Proportional to 3,832, 5,288.16 and 2,434.48

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Solution

The fourth proportional to 3,832, 5,288.16 and 2,434.48 is: 3,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832 : 5,288.16 = 2,434.48 : x
  2. Step 2: Convert to fraction form
    3,832/5,288.16 = 2,434.48/x
  3. Step 3: Cross multiply
    3,832x = 5,288.16 × 2,434.48
  4. Step 4: Simplify right side
    3,832x = 12,873,919.76
  5. Step 5: Solve for x
    x = 12,873,919.76/3,832
  6. Step 6: Final answer
    x = 3,359.58

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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.