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Finding the Fourth Proportional to 4,644.57, 6,961.97 and 1,523.77

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Solution

The fourth proportional to 4,644.57, 6,961.97 and 1,523.77 is: 2,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.57 : 6,961.97 = 1,523.77 : x
  2. Step 2: Convert to fraction form
    4,644.57/6,961.97 = 1,523.77/x
  3. Step 3: Cross multiply
    4,644.57x = 6,961.97 × 1,523.77
  4. Step 4: Simplify right side
    4,644.57x = 10,608,441.03
  5. Step 5: Solve for x
    x = 10,608,441.03/4,644.57
  6. Step 6: Final answer
    x = 2,284.05

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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.