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Finding the Fourth Proportional to 3,912.77, 5,869.46 and 2,269.49

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Solution

The fourth proportional to 3,912.77, 5,869.46 and 2,269.49 is: 3,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.77 : 5,869.46 = 2,269.49 : x
  2. Step 2: Convert to fraction form
    3,912.77/5,869.46 = 2,269.49/x
  3. Step 3: Cross multiply
    3,912.77x = 5,869.46 × 2,269.49
  4. Step 4: Simplify right side
    3,912.77x = 13,320,657.10
  5. Step 5: Solve for x
    x = 13,320,657.10/3,912.77
  6. Step 6: Final answer
    x = 3,404.40

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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.