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Finding the Fourth Proportional to 3,442.35, 5,163.57 and 1,361.46

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Solution

The fourth proportional to 3,442.35, 5,163.57 and 1,361.46 is: 2,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.35 : 5,163.57 = 1,361.46 : x
  2. Step 2: Convert to fraction form
    3,442.35/5,163.57 = 1,361.46/x
  3. Step 3: Cross multiply
    3,442.35x = 5,163.57 × 1,361.46
  4. Step 4: Simplify right side
    3,442.35x = 7,029,994.01
  5. Step 5: Solve for x
    x = 7,029,994.01/3,442.35
  6. Step 6: Final answer
    x = 2,042.21

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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.