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Finding the Fourth Proportional to 3,884.70, 5,360.46 and 2,269.64

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Solution

The fourth proportional to 3,884.70, 5,360.46 and 2,269.64 is: 3,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.70 : 5,360.46 = 2,269.64 : x
  2. Step 2: Convert to fraction form
    3,884.70/5,360.46 = 2,269.64/x
  3. Step 3: Cross multiply
    3,884.70x = 5,360.46 × 2,269.64
  4. Step 4: Simplify right side
    3,884.70x = 12,166,314.43
  5. Step 5: Solve for x
    x = 12,166,314.43/3,884.70
  6. Step 6: Final answer
    x = 3,131.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.