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Finding the Fourth Proportional to 5,338.44, 8,007.48 and 2,416.74

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Solution

The fourth proportional to 5,338.44, 8,007.48 and 2,416.74 is: 3,625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.44 : 8,007.48 = 2,416.74 : x
  2. Step 2: Convert to fraction form
    5,338.44/8,007.48 = 2,416.74/x
  3. Step 3: Cross multiply
    5,338.44x = 8,007.48 × 2,416.74
  4. Step 4: Simplify right side
    5,338.44x = 19,351,997.22
  5. Step 5: Solve for x
    x = 19,351,997.22/5,338.44
  6. Step 6: Final answer
    x = 3,625.03

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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.