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Finding the Fourth Proportional to 5,265.44, 7,900.46 and 2,494.09

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Solution

The fourth proportional to 5,265.44, 7,900.46 and 2,494.09 is: 3,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.44 : 7,900.46 = 2,494.09 : x
  2. Step 2: Convert to fraction form
    5,265.44/7,900.46 = 2,494.09/x
  3. Step 3: Cross multiply
    5,265.44x = 7,900.46 × 2,494.09
  4. Step 4: Simplify right side
    5,265.44x = 19,704,458.28
  5. Step 5: Solve for x
    x = 19,704,458.28/5,265.44
  6. Step 6: Final answer
    x = 3,742.22

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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.