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Finding the Fourth Proportional to 3,909.89, 5,861.18 and 1,311

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Solution

The fourth proportional to 3,909.89, 5,861.18 and 1,311 is: 1,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.89 : 5,861.18 = 1,311 : x
  2. Step 2: Convert to fraction form
    3,909.89/5,861.18 = 1,311/x
  3. Step 3: Cross multiply
    3,909.89x = 5,861.18 × 1,311
  4. Step 4: Simplify right side
    3,909.89x = 7,684,010.26
  5. Step 5: Solve for x
    x = 7,684,010.26/3,909.89
  6. Step 6: Final answer
    x = 1,965.28

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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.