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Finding the Fourth Proportional to 4,361.94, 6,535.82 and 4,200.14

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Solution

The fourth proportional to 4,361.94, 6,535.82 and 4,200.14 is: 6,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.94 : 6,535.82 = 4,200.14 : x
  2. Step 2: Convert to fraction form
    4,361.94/6,535.82 = 4,200.14/x
  3. Step 3: Cross multiply
    4,361.94x = 6,535.82 × 4,200.14
  4. Step 4: Simplify right side
    4,361.94x = 27,451,385.85
  5. Step 5: Solve for x
    x = 27,451,385.85/4,361.94
  6. Step 6: Final answer
    x = 6,293.39

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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.