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Finding the Fourth Proportional to 3,968.07, 5,952.07 and 1,775.25

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Solution

The fourth proportional to 3,968.07, 5,952.07 and 1,775.25 is: 2,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.07 : 5,952.07 = 1,775.25 : x
  2. Step 2: Convert to fraction form
    3,968.07/5,952.07 = 1,775.25/x
  3. Step 3: Cross multiply
    3,968.07x = 5,952.07 × 1,775.25
  4. Step 4: Simplify right side
    3,968.07x = 10,566,414.49
  5. Step 5: Solve for x
    x = 10,566,414.49/3,968.07
  6. Step 6: Final answer
    x = 2,662.86

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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.