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Finding the Fourth Proportional to 5,256.44, 7,878.36 and 2,331.44

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Solution

The fourth proportional to 5,256.44, 7,878.36 and 2,331.44 is: 3,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.44 : 7,878.36 = 2,331.44 : x
  2. Step 2: Convert to fraction form
    5,256.44/7,878.36 = 2,331.44/x
  3. Step 3: Cross multiply
    5,256.44x = 7,878.36 × 2,331.44
  4. Step 4: Simplify right side
    5,256.44x = 18,367,923.64
  5. Step 5: Solve for x
    x = 18,367,923.64/5,256.44
  6. Step 6: Final answer
    x = 3,494.37

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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.