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Finding the Fourth Proportional to 4,134.84, 6,202.19 and 1,361.54

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Solution

The fourth proportional to 4,134.84, 6,202.19 and 1,361.54 is: 2,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.84 : 6,202.19 = 1,361.54 : x
  2. Step 2: Convert to fraction form
    4,134.84/6,202.19 = 1,361.54/x
  3. Step 3: Cross multiply
    4,134.84x = 6,202.19 × 1,361.54
  4. Step 4: Simplify right side
    4,134.84x = 8,444,491.95
  5. Step 5: Solve for x
    x = 8,444,491.95/4,134.84
  6. Step 6: Final answer
    x = 2,042.28

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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.