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Finding the Fourth Proportional to 5,097.60, 7,644.24 and 1,634.04

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Solution

The fourth proportional to 5,097.60, 7,644.24 and 1,634.04 is: 2,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.60 : 7,644.24 = 1,634.04 : x
  2. Step 2: Convert to fraction form
    5,097.60/7,644.24 = 1,634.04/x
  3. Step 3: Cross multiply
    5,097.60x = 7,644.24 × 1,634.04
  4. Step 4: Simplify right side
    5,097.60x = 12,490,993.93
  5. Step 5: Solve for x
    x = 12,490,993.93/5,097.60
  6. Step 6: Final answer
    x = 2,450.37

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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.