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Finding the Fourth Proportional to 3,966.62, 5,968.99 and 3,268.86

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Solution

The fourth proportional to 3,966.62, 5,968.99 and 3,268.86 is: 4,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.62 : 5,968.99 = 3,268.86 : x
  2. Step 2: Convert to fraction form
    3,966.62/5,968.99 = 3,268.86/x
  3. Step 3: Cross multiply
    3,966.62x = 5,968.99 × 3,268.86
  4. Step 4: Simplify right side
    3,966.62x = 19,511,774.35
  5. Step 5: Solve for x
    x = 19,511,774.35/3,966.62
  6. Step 6: Final answer
    x = 4,918.99

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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.