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Finding the Fourth Proportional to 3,838.56, 5,289.84 and 2,732.64

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Solution

The fourth proportional to 3,838.56, 5,289.84 and 2,732.64 is: 3,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.56 : 5,289.84 = 2,732.64 : x
  2. Step 2: Convert to fraction form
    3,838.56/5,289.84 = 2,732.64/x
  3. Step 3: Cross multiply
    3,838.56x = 5,289.84 × 2,732.64
  4. Step 4: Simplify right side
    3,838.56x = 14,455,228.38
  5. Step 5: Solve for x
    x = 14,455,228.38/3,838.56
  6. Step 6: Final answer
    x = 3,765.79

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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.