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Finding the Fourth Proportional to 5,101.56, 7,647.48 and 2,467.44

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Solution

The fourth proportional to 5,101.56, 7,647.48 and 2,467.44 is: 3,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.56 : 7,647.48 = 2,467.44 : x
  2. Step 2: Convert to fraction form
    5,101.56/7,647.48 = 2,467.44/x
  3. Step 3: Cross multiply
    5,101.56x = 7,647.48 × 2,467.44
  4. Step 4: Simplify right side
    5,101.56x = 18,869,698.05
  5. Step 5: Solve for x
    x = 18,869,698.05/5,101.56
  6. Step 6: Final answer
    x = 3,698.81

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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.