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Finding the Fourth Proportional to 4,644.26, 6,963.29 and 1,523.15

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Solution

The fourth proportional to 4,644.26, 6,963.29 and 1,523.15 is: 2,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.26 : 6,963.29 = 1,523.15 : x
  2. Step 2: Convert to fraction form
    4,644.26/6,963.29 = 1,523.15/x
  3. Step 3: Cross multiply
    4,644.26x = 6,963.29 × 1,523.15
  4. Step 4: Simplify right side
    4,644.26x = 10,606,168.01
  5. Step 5: Solve for x
    x = 10,606,168.01/4,644.26
  6. Step 6: Final answer
    x = 2,283.71

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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.