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Finding the Fourth Proportional to 3,229.52, 4,845.08 and 921

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Solution

The fourth proportional to 3,229.52, 4,845.08 and 921 is: 1,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.52 : 4,845.08 = 921 : x
  2. Step 2: Convert to fraction form
    3,229.52/4,845.08 = 921/x
  3. Step 3: Cross multiply
    3,229.52x = 4,845.08 × 921
  4. Step 4: Simplify right side
    3,229.52x = 4,462,318.68
  5. Step 5: Solve for x
    x = 4,462,318.68/3,229.52
  6. Step 6: Final answer
    x = 1,381.73

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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.