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Finding the Fourth Proportional to 4,000.26, 6,000.38 and 1,264.26

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Solution

The fourth proportional to 4,000.26, 6,000.38 and 1,264.26 is: 1,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.26 : 6,000.38 = 1,264.26 : x
  2. Step 2: Convert to fraction form
    4,000.26/6,000.38 = 1,264.26/x
  3. Step 3: Cross multiply
    4,000.26x = 6,000.38 × 1,264.26
  4. Step 4: Simplify right side
    4,000.26x = 7,586,040.42
  5. Step 5: Solve for x
    x = 7,586,040.42/4,000.26
  6. Step 6: Final answer
    x = 1,896.39

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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.