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Finding the Fourth Proportional to 3,962, 5,458.02 and 3,332.54

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Solution

The fourth proportional to 3,962, 5,458.02 and 3,332.54 is: 4,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962 : 5,458.02 = 3,332.54 : x
  2. Step 2: Convert to fraction form
    3,962/5,458.02 = 3,332.54/x
  3. Step 3: Cross multiply
    3,962x = 5,458.02 × 3,332.54
  4. Step 4: Simplify right side
    3,962x = 18,189,069.97
  5. Step 5: Solve for x
    x = 18,189,069.97/3,962
  6. Step 6: Final answer
    x = 4,590.88

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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.