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Finding the Fourth Proportional to 4,667.88, 7,004.25 and 2,201.43

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Solution

The fourth proportional to 4,667.88, 7,004.25 and 2,201.43 is: 3,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.88 : 7,004.25 = 2,201.43 : x
  2. Step 2: Convert to fraction form
    4,667.88/7,004.25 = 2,201.43/x
  3. Step 3: Cross multiply
    4,667.88x = 7,004.25 × 2,201.43
  4. Step 4: Simplify right side
    4,667.88x = 15,419,366.08
  5. Step 5: Solve for x
    x = 15,419,366.08/4,667.88
  6. Step 6: Final answer
    x = 3,303.29

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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.