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Finding the Fourth Proportional to 3,408.49, 5,114.18 and 1,461.61

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Solution

The fourth proportional to 3,408.49, 5,114.18 and 1,461.61 is: 2,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.49 : 5,114.18 = 1,461.61 : x
  2. Step 2: Convert to fraction form
    3,408.49/5,114.18 = 1,461.61/x
  3. Step 3: Cross multiply
    3,408.49x = 5,114.18 × 1,461.61
  4. Step 4: Simplify right side
    3,408.49x = 7,474,936.63
  5. Step 5: Solve for x
    x = 7,474,936.63/3,408.49
  6. Step 6: Final answer
    x = 2,193.03

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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.