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Finding the Fourth Proportional to 5,468.38, 7,546.32 and 2,984.38

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Solution

The fourth proportional to 5,468.38, 7,546.32 and 2,984.38 is: 4,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.38 : 7,546.32 = 2,984.38 : x
  2. Step 2: Convert to fraction form
    5,468.38/7,546.32 = 2,984.38/x
  3. Step 3: Cross multiply
    5,468.38x = 7,546.32 × 2,984.38
  4. Step 4: Simplify right side
    5,468.38x = 22,521,086.48
  5. Step 5: Solve for x
    x = 22,521,086.48/5,468.38
  6. Step 6: Final answer
    x = 4,118.42

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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.