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Finding the Fourth Proportional to 4,667.25, 7,000.87 and 3,201.96

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Solution

The fourth proportional to 4,667.25, 7,000.87 and 3,201.96 is: 4,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.25 : 7,000.87 = 3,201.96 : x
  2. Step 2: Convert to fraction form
    4,667.25/7,000.87 = 3,201.96/x
  3. Step 3: Cross multiply
    4,667.25x = 7,000.87 × 3,201.96
  4. Step 4: Simplify right side
    4,667.25x = 22,416,505.71
  5. Step 5: Solve for x
    x = 22,416,505.71/4,667.25
  6. Step 6: Final answer
    x = 4,802.94

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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.