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Finding the Fourth Proportional to 4,000.29, 5,520.38 and 2,231.90

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Solution

The fourth proportional to 4,000.29, 5,520.38 and 2,231.90 is: 3,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.29 : 5,520.38 = 2,231.90 : x
  2. Step 2: Convert to fraction form
    4,000.29/5,520.38 = 2,231.90/x
  3. Step 3: Cross multiply
    4,000.29x = 5,520.38 × 2,231.90
  4. Step 4: Simplify right side
    4,000.29x = 12,320,914.10
  5. Step 5: Solve for x
    x = 12,320,914.10/4,000.29
  6. Step 6: Final answer
    x = 3,080.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.