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Finding the Fourth Proportional to 4,223.62, 5,797.37 and 4,043.18

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Solution

The fourth proportional to 4,223.62, 5,797.37 and 4,043.18 is: 5,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.62 : 5,797.37 = 4,043.18 : x
  2. Step 2: Convert to fraction form
    4,223.62/5,797.37 = 4,043.18/x
  3. Step 3: Cross multiply
    4,223.62x = 5,797.37 × 4,043.18
  4. Step 4: Simplify right side
    4,223.62x = 23,439,790.22
  5. Step 5: Solve for x
    x = 23,439,790.22/4,223.62
  6. Step 6: Final answer
    x = 5,549.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.