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Finding the Fourth Proportional to 5,401.73, 7,456.24 and 3,164.32

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Solution

The fourth proportional to 5,401.73, 7,456.24 and 3,164.32 is: 4,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.73 : 7,456.24 = 3,164.32 : x
  2. Step 2: Convert to fraction form
    5,401.73/7,456.24 = 3,164.32/x
  3. Step 3: Cross multiply
    5,401.73x = 7,456.24 × 3,164.32
  4. Step 4: Simplify right side
    5,401.73x = 23,593,924.83
  5. Step 5: Solve for x
    x = 23,593,924.83/5,401.73
  6. Step 6: Final answer
    x = 4,367.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.