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Finding the Fourth Proportional to 3,353.84, 5,029.96 and 1,274.08

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Solution

The fourth proportional to 3,353.84, 5,029.96 and 1,274.08 is: 1,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.84 : 5,029.96 = 1,274.08 : x
  2. Step 2: Convert to fraction form
    3,353.84/5,029.96 = 1,274.08/x
  3. Step 3: Cross multiply
    3,353.84x = 5,029.96 × 1,274.08
  4. Step 4: Simplify right side
    3,353.84x = 6,408,571.44
  5. Step 5: Solve for x
    x = 6,408,571.44/3,353.84
  6. Step 6: Final answer
    x = 1,910.82

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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.