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Finding the Fourth Proportional to 6,542.43, 9,028.53 and 3,558.21

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Solution

The fourth proportional to 6,542.43, 9,028.53 and 3,558.21 is: 4,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.43 : 9,028.53 = 3,558.21 : x
  2. Step 2: Convert to fraction form
    6,542.43/9,028.53 = 3,558.21/x
  3. Step 3: Cross multiply
    6,542.43x = 9,028.53 × 3,558.21
  4. Step 4: Simplify right side
    6,542.43x = 32,125,405.73
  5. Step 5: Solve for x
    x = 32,125,405.73/6,542.43
  6. Step 6: Final answer
    x = 4,910.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.