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Finding the Fourth Proportional to 4,223.57, 6,327.16 and 2,033.84

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Solution

The fourth proportional to 4,223.57, 6,327.16 and 2,033.84 is: 3,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.57 : 6,327.16 = 2,033.84 : x
  2. Step 2: Convert to fraction form
    4,223.57/6,327.16 = 2,033.84/x
  3. Step 3: Cross multiply
    4,223.57x = 6,327.16 × 2,033.84
  4. Step 4: Simplify right side
    4,223.57x = 12,868,441.83
  5. Step 5: Solve for x
    x = 12,868,441.83/4,223.57
  6. Step 6: Final answer
    x = 3,046.81

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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.