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Finding the Fourth Proportional to 3,229.56, 4,844.40 and 921

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Solution

The fourth proportional to 3,229.56, 4,844.40 and 921 is: 1,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.56 : 4,844.40 = 921 : x
  2. Step 2: Convert to fraction form
    3,229.56/4,844.40 = 921/x
  3. Step 3: Cross multiply
    3,229.56x = 4,844.40 × 921
  4. Step 4: Simplify right side
    3,229.56x = 4,461,692.40
  5. Step 5: Solve for x
    x = 4,461,692.40/3,229.56
  6. Step 6: Final answer
    x = 1,381.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.