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Finding the Fourth Proportional to 3,335.86, 5,003.82 and 1,144.54

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Solution

The fourth proportional to 3,335.86, 5,003.82 and 1,144.54 is: 1,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.86 : 5,003.82 = 1,144.54 : x
  2. Step 2: Convert to fraction form
    3,335.86/5,003.82 = 1,144.54/x
  3. Step 3: Cross multiply
    3,335.86x = 5,003.82 × 1,144.54
  4. Step 4: Simplify right side
    3,335.86x = 5,727,072.14
  5. Step 5: Solve for x
    x = 5,727,072.14/3,335.86
  6. Step 6: Final answer
    x = 1,716.82

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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.