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Finding the Fourth Proportional to 3,924.62, 5,416.05 and 2,156.33

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Solution

The fourth proportional to 3,924.62, 5,416.05 and 2,156.33 is: 2,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.62 : 5,416.05 = 2,156.33 : x
  2. Step 2: Convert to fraction form
    3,924.62/5,416.05 = 2,156.33/x
  3. Step 3: Cross multiply
    3,924.62x = 5,416.05 × 2,156.33
  4. Step 4: Simplify right side
    3,924.62x = 11,678,791.10
  5. Step 5: Solve for x
    x = 11,678,791.10/3,924.62
  6. Step 6: Final answer
    x = 2,975.78

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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.