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Finding the Fourth Proportional to 5,487.94, 8,231.45 and 1,539.27

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Solution

The fourth proportional to 5,487.94, 8,231.45 and 1,539.27 is: 2,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.94 : 8,231.45 = 1,539.27 : x
  2. Step 2: Convert to fraction form
    5,487.94/8,231.45 = 1,539.27/x
  3. Step 3: Cross multiply
    5,487.94x = 8,231.45 × 1,539.27
  4. Step 4: Simplify right side
    5,487.94x = 12,670,424.04
  5. Step 5: Solve for x
    x = 12,670,424.04/5,487.94
  6. Step 6: Final answer
    x = 2,308.78

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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.