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Finding the Fourth Proportional to 3,883.43, 5,821.02 and 1,542.44

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Solution

The fourth proportional to 3,883.43, 5,821.02 and 1,542.44 is: 2,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.43 : 5,821.02 = 1,542.44 : x
  2. Step 2: Convert to fraction form
    3,883.43/5,821.02 = 1,542.44/x
  3. Step 3: Cross multiply
    3,883.43x = 5,821.02 × 1,542.44
  4. Step 4: Simplify right side
    3,883.43x = 8,978,588.64
  5. Step 5: Solve for x
    x = 8,978,588.64/3,883.43
  6. Step 6: Final answer
    x = 2,312.02

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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.