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Finding the Fourth Proportional to 3,241.56, 4,862.27 and 901.54

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Solution

The fourth proportional to 3,241.56, 4,862.27 and 901.54 is: 1,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.56 : 4,862.27 = 901.54 : x
  2. Step 2: Convert to fraction form
    3,241.56/4,862.27 = 901.54/x
  3. Step 3: Cross multiply
    3,241.56x = 4,862.27 × 901.54
  4. Step 4: Simplify right side
    3,241.56x = 4,383,520.99
  5. Step 5: Solve for x
    x = 4,383,520.99/3,241.56
  6. Step 6: Final answer
    x = 1,352.29

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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.