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Finding the Fourth Proportional to 3,396.52, 5,093.16 and 1,546.48

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Solution

The fourth proportional to 3,396.52, 5,093.16 and 1,546.48 is: 2,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.52 : 5,093.16 = 1,546.48 : x
  2. Step 2: Convert to fraction form
    3,396.52/5,093.16 = 1,546.48/x
  3. Step 3: Cross multiply
    3,396.52x = 5,093.16 × 1,546.48
  4. Step 4: Simplify right side
    3,396.52x = 7,876,470.08
  5. Step 5: Solve for x
    x = 7,876,470.08/3,396.52
  6. Step 6: Final answer
    x = 2,318.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.