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Finding the Fourth Proportional to 5,097.43, 7,644.56 and 2,463.30

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Solution

The fourth proportional to 5,097.43, 7,644.56 and 2,463.30 is: 3,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.43 : 7,644.56 = 2,463.30 : x
  2. Step 2: Convert to fraction form
    5,097.43/7,644.56 = 2,463.30/x
  3. Step 3: Cross multiply
    5,097.43x = 7,644.56 × 2,463.30
  4. Step 4: Simplify right side
    5,097.43x = 18,830,844.65
  5. Step 5: Solve for x
    x = 18,830,844.65/5,097.43
  6. Step 6: Final answer
    x = 3,694.18

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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.