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Finding the Fourth Proportional to 3,523.96, 5,281.80 and 1,963.24

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Solution

The fourth proportional to 3,523.96, 5,281.80 and 1,963.24 is: 2,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.96 : 5,281.80 = 1,963.24 : x
  2. Step 2: Convert to fraction form
    3,523.96/5,281.80 = 1,963.24/x
  3. Step 3: Cross multiply
    3,523.96x = 5,281.80 × 1,963.24
  4. Step 4: Simplify right side
    3,523.96x = 10,369,441.03
  5. Step 5: Solve for x
    x = 10,369,441.03/3,523.96
  6. Step 6: Final answer
    x = 2,942.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.