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Finding the Fourth Proportional to 3,539.88, 5,311.86 and 1,350.12

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Solution

The fourth proportional to 3,539.88, 5,311.86 and 1,350.12 is: 2,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.88 : 5,311.86 = 1,350.12 : x
  2. Step 2: Convert to fraction form
    3,539.88/5,311.86 = 1,350.12/x
  3. Step 3: Cross multiply
    3,539.88x = 5,311.86 × 1,350.12
  4. Step 4: Simplify right side
    3,539.88x = 7,171,648.42
  5. Step 5: Solve for x
    x = 7,171,648.42/3,539.88
  6. Step 6: Final answer
    x = 2,025.96

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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.