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Finding the Fourth Proportional to 4,667.56, 7,001.34 and 3,202.27

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Solution

The fourth proportional to 4,667.56, 7,001.34 and 3,202.27 is: 4,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.56 : 7,001.34 = 3,202.27 : x
  2. Step 2: Convert to fraction form
    4,667.56/7,001.34 = 3,202.27/x
  3. Step 3: Cross multiply
    4,667.56x = 7,001.34 × 3,202.27
  4. Step 4: Simplify right side
    4,667.56x = 22,420,181.04
  5. Step 5: Solve for x
    x = 22,420,181.04/4,667.56
  6. Step 6: Final answer
    x = 4,803.41

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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.