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Finding the Fourth Proportional to 6,542.00, 9,028.03 and 3,557.84

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Solution

The fourth proportional to 6,542.00, 9,028.03 and 3,557.84 is: 4,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.00 : 9,028.03 = 3,557.84 : x
  2. Step 2: Convert to fraction form
    6,542.00/9,028.03 = 3,557.84/x
  3. Step 3: Cross multiply
    6,542.00x = 9,028.03 × 3,557.84
  4. Step 4: Simplify right side
    6,542.00x = 32,120,286.26
  5. Step 5: Solve for x
    x = 32,120,286.26/6,542.00
  6. Step 6: Final answer
    x = 4,909.86

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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.