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Finding the Fourth Proportional to 5,488.29, 8,230.96 and 1,539.33

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Solution

The fourth proportional to 5,488.29, 8,230.96 and 1,539.33 is: 2,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.29 : 8,230.96 = 1,539.33 : x
  2. Step 2: Convert to fraction form
    5,488.29/8,230.96 = 1,539.33/x
  3. Step 3: Cross multiply
    5,488.29x = 8,230.96 × 1,539.33
  4. Step 4: Simplify right side
    5,488.29x = 12,670,163.66
  5. Step 5: Solve for x
    x = 12,670,163.66/5,488.29
  6. Step 6: Final answer
    x = 2,308.58

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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.