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Finding the Fourth Proportional to 6,542.69, 9,028.89 and 3,558.54

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Solution

The fourth proportional to 6,542.69, 9,028.89 and 3,558.54 is: 4,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.69 : 9,028.89 = 3,558.54 : x
  2. Step 2: Convert to fraction form
    6,542.69/9,028.89 = 3,558.54/x
  3. Step 3: Cross multiply
    6,542.69x = 9,028.89 × 3,558.54
  4. Step 4: Simplify right side
    6,542.69x = 32,129,666.22
  5. Step 5: Solve for x
    x = 32,129,666.22/6,542.69
  6. Step 6: Final answer
    x = 4,910.77

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