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Finding the Fourth Proportional to 3,487.46, 5,231.87 and 1,539.68

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Solution

The fourth proportional to 3,487.46, 5,231.87 and 1,539.68 is: 2,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.46 : 5,231.87 = 1,539.68 : x
  2. Step 2: Convert to fraction form
    3,487.46/5,231.87 = 1,539.68/x
  3. Step 3: Cross multiply
    3,487.46x = 5,231.87 × 1,539.68
  4. Step 4: Simplify right side
    3,487.46x = 8,055,371.74
  5. Step 5: Solve for x
    x = 8,055,371.74/3,487.46
  6. Step 6: Final answer
    x = 2,309.81

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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.