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Finding the Fourth Proportional to 3,935.32, 5,892.90 and 3,284.44

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Solution

The fourth proportional to 3,935.32, 5,892.90 and 3,284.44 is: 4,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.32 : 5,892.90 = 3,284.44 : x
  2. Step 2: Convert to fraction form
    3,935.32/5,892.90 = 3,284.44/x
  3. Step 3: Cross multiply
    3,935.32x = 5,892.90 × 3,284.44
  4. Step 4: Simplify right side
    3,935.32x = 19,354,876.48
  5. Step 5: Solve for x
    x = 19,354,876.48/3,935.32
  6. Step 6: Final answer
    x = 4,918.25

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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.