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Finding the Fourth Proportional to 4,826.22, 7,239.23 and 1,539.26

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Solution

The fourth proportional to 4,826.22, 7,239.23 and 1,539.26 is: 2,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.22 : 7,239.23 = 1,539.26 : x
  2. Step 2: Convert to fraction form
    4,826.22/7,239.23 = 1,539.26/x
  3. Step 3: Cross multiply
    4,826.22x = 7,239.23 × 1,539.26
  4. Step 4: Simplify right side
    4,826.22x = 11,143,057.17
  5. Step 5: Solve for x
    x = 11,143,057.17/4,826.22
  6. Step 6: Final answer
    x = 2,308.86

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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.