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Finding the Fourth Proportional to 6,542.55, 9,028.46 and 3,558.39

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Solution

The fourth proportional to 6,542.55, 9,028.46 and 3,558.39 is: 4,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.55 : 9,028.46 = 3,558.39 : x
  2. Step 2: Convert to fraction form
    6,542.55/9,028.46 = 3,558.39/x
  3. Step 3: Cross multiply
    6,542.55x = 9,028.46 × 3,558.39
  4. Step 4: Simplify right side
    6,542.55x = 32,126,745.53
  5. Step 5: Solve for x
    x = 32,126,745.53/6,542.55
  6. Step 6: Final answer
    x = 4,910.43

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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.