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Finding the Fourth Proportional to 3,914.78, 5,872.12 and 953.24

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Solution

The fourth proportional to 3,914.78, 5,872.12 and 953.24 is: 1,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.78 : 5,872.12 = 953.24 : x
  2. Step 2: Convert to fraction form
    3,914.78/5,872.12 = 953.24/x
  3. Step 3: Cross multiply
    3,914.78x = 5,872.12 × 953.24
  4. Step 4: Simplify right side
    3,914.78x = 5,597,507.93
  5. Step 5: Solve for x
    x = 5,597,507.93/3,914.78
  6. Step 6: Final answer
    x = 1,429.84

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