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Finding the Fourth Proportional to 3,520.59, 5,286.08 and 1,963.64

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Solution

The fourth proportional to 3,520.59, 5,286.08 and 1,963.64 is: 2,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.59 : 5,286.08 = 1,963.64 : x
  2. Step 2: Convert to fraction form
    3,520.59/5,286.08 = 1,963.64/x
  3. Step 3: Cross multiply
    3,520.59x = 5,286.08 × 1,963.64
  4. Step 4: Simplify right side
    3,520.59x = 10,379,956.43
  5. Step 5: Solve for x
    x = 10,379,956.43/3,520.59
  6. Step 6: Final answer
    x = 2,948.35

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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.