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Finding the Fourth Proportional to 3,832, 5,288.16 and 2,176

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Solution

The fourth proportional to 3,832, 5,288.16 and 2,176 is: 3,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832 : 5,288.16 = 2,176 : x
  2. Step 2: Convert to fraction form
    3,832/5,288.16 = 2,176/x
  3. Step 3: Cross multiply
    3,832x = 5,288.16 × 2,176
  4. Step 4: Simplify right side
    3,832x = 11,507,036.16
  5. Step 5: Solve for x
    x = 11,507,036.16/3,832
  6. Step 6: Final answer
    x = 3,002.88

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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.