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Finding the Fourth Proportional to 4,000.26, 5,995.91 and 1,365.31

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Solution

The fourth proportional to 4,000.26, 5,995.91 and 1,365.31 is: 2,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.26 : 5,995.91 = 1,365.31 : x
  2. Step 2: Convert to fraction form
    4,000.26/5,995.91 = 1,365.31/x
  3. Step 3: Cross multiply
    4,000.26x = 5,995.91 × 1,365.31
  4. Step 4: Simplify right side
    4,000.26x = 8,186,275.88
  5. Step 5: Solve for x
    x = 8,186,275.88/4,000.26
  6. Step 6: Final answer
    x = 2,046.44

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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.